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31003112014413 = 37112373243732801
BaseRepresentation
bin1110000110010011110010…
…11110101000001001001101
311001202212110011220220012020
413003021321132220021031
513030423333133430123
6145534344423000353
76346621006002450
oct703117136501115
9131685404826166
1031003112014413
119973389534490
12358873b5990b9
13143b77237b526
147927b6c37497
1538b6de85d7e3
hex1c32797a824d

31003112014413 has 128 divisors (see below), whose sum is σ = 54539130691584. Its totient is φ = 15187544064000.

The previous prime is 31003112014403. The next prime is 31003112014471. The reversal of 31003112014413 is 31441021130013.

It is a happy number.

It is not a de Polignac number, because 31003112014413 - 210 = 31003112013389 is a prime.

It is a super-3 number, since 3×310031120144133 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003112014403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 945171613 + ... + 945204413.

It is an arithmetic number, because the mean of its divisors is an integer number (426086958528).

Almost surely, 231003112014413 is an apocalyptic number.

31003112014413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31003112014413 is a deficient number, since it is larger than the sum of its proper divisors (23536018677171).

31003112014413 is a wasteful number, since it uses less digits than its factorization.

31003112014413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35355.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31003112014413 its reverse (31441021130013), we get a palindrome (62444133144426).

The spelling of 31003112014413 in words is "thirty-one trillion, three billion, one hundred twelve million, fourteen thousand, four hundred thirteen".

Divisors: 1 3 7 11 21 23 33 69 73 77 161 219 231 253 483 511 759 803 1533 1679 1771 2409 2437 5037 5313 5621 7311 11753 16863 17059 18469 26807 32801 35259 51177 55407 56051 80421 98403 129283 168153 177901 187649 229607 360811 387849 392357 533703 562947 616561 688821 754423 1082433 1177071 1245307 1849683 1956911 2263269 2394473 2525677 3735921 4091723 4315927 5280961 5870733 7183419 7577031 8298653 12275169 12947781 13698377 15842883 16761311 24895959 26339203 28642061 41095131 45008953 50283933 55072879 58090571 79017609 79936037 85926183 135026859 165218637 174271713 184374421 239808111 315062671 385510153 553123263 559552259 605801669 879296407 945188013 1156530459 1678656777 1817405007 1838528851 2637889221 4240611683 5515586553 5835330701 6155074849 12721835049 12869701957 17505992103 18465224547 20223817361 38609105871 40847314907 60671452083 64188637711 122541944721 134212606123 141566721527 192565913133 402637818369 424700164581 449320463977 939488242861 1347961391931 1476338667353 2818464728583 4429016002059 10334370671471 31003112014413