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101312442 = 232711671091
BaseRepresentation
bin1100000100111…
…10011110111010
321001122012112200
412002132132322
5201413444232
614015251030
72340066360
oct602363672
9231565480
10101312442
11522085a0
1229b19a76
1317cb2cba
14d653630
158d6377c
hex609e7ba

101312442 has 96 divisors (see below), whose sum is σ = 278014464. Its totient is φ = 25898400.

The previous prime is 101312437. The next prime is 101312461. The reversal of 101312442 is 244213101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92317 + ... + 93407.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984).

Almost surely, 2101312442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007232).

101312442 is an abundant number, since it is smaller than the sum of its proper divisors (176702022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101312442 is a wasteful number, since it uses less digits than its factorization.

101312442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101312442 is about 10065.4081884442. The cubic root of 101312442 is about 466.1806694440.

Adding to 101312442 its reverse (244213101), we get a palindrome (345525543).

The spelling of 101312442 in words is "one hundred one million, three hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 67 77 99 126 134 154 198 201 231 402 462 469 603 693 737 938 1091 1206 1386 1407 1474 2182 2211 2814 3273 4221 4422 5159 6546 6633 7637 8442 9819 10318 12001 13266 15274 15477 19638 22911 24002 30954 36003 45822 46431 68733 72006 73097 84007 92862 108009 137466 146194 168014 216018 219291 252021 438582 504042 511679 657873 756063 804067 1023358 1315746 1512126 1535037 1608134 2412201 3070074 4605111 4824402 5628469 7236603 9210222 11256938 14473206 16885407 33770814 50656221 101312442