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10123001303121 = 3272271523161957
BaseRepresentation
bin1001001101001111000111…
…1001011001000001010001
31022211202020100212212012200
42103103301321121001101
52311323401313144441
633310235333513413
72063235260230500
oct223236171310121
938752210785180
1010123001303121
113253160369643
121175aa47a2869
135857970922a5
1426dd54cda837
151284c86487b6
hex934f1e59051

10123001303121 has 72 divisors (see below), whose sum is σ = 17104910419584. Its totient is φ = 5752171817280.

The previous prime is 10123001303101. The next prime is 10123001303141. The reversal of 10123001303121 is 12130310032101.

10123001303121 is a `hidden beast` number, since 10 + 1 + 230 + 0 + 1 + 303 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (10123001303101) and next prime (10123001303141).

It is not a de Polignac number, because 10123001303121 - 26 = 10123001303057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123001303094 and 10123001303103.

It is not an unprimeable number, because it can be changed into a prime (10123001303101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62423275 + ... + 62585231.

It is an arithmetic number, because the mean of its divisors is an integer number (237568200272).

Almost surely, 210123001303121 is an apocalyptic number.

It is an amenable number.

10123001303121 is a deficient number, since it is larger than the sum of its proper divisors (6981909116463).

10123001303121 is a wasteful number, since it uses less digits than its factorization.

10123001303121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162771 (or 162761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10123001303121 its reverse (12130310032101), we get a palindrome (22253311335222).

The spelling of 10123001303121 in words is "ten trillion, one hundred twenty-three billion, one million, three hundred three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 271 441 523 813 1569 1897 2439 3661 4707 5691 10983 13279 17073 25627 32949 39837 76881 119511 141733 161957 230643 425199 485871 992131 1133699 1275597 1457613 2976393 3401097 6944917 7935893 8929179 10203291 20834751 23807679 43890347 62504253 71423037 84703511 131671041 254110533 307232429 395013123 592924577 762331599 921697287 1778773731 2150627003 2765091861 4150472039 5336321193 6451881009 12451416117 19355643027 22954651481 37354248351 68863954443 160682560367 206591863329 482047681101 1124777922569 1446143043303 3374333767707 10123001303121