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101172856330 = 25721317934277
BaseRepresentation
bin101111000111001011…
…1110100011000001010
3100200010220120121200001
41132032113310120022
53124200222400310
6114251141233214
710211105042500
oct1361627643012
9320126517601
10101172856330
11399a8492457
121773670280a
1397047bc080
144c7ab26670
1529721b293a
hex178e5f460a

101172856330 has 96 divisors (see below), whose sum is σ = 241559445456. Its totient is φ = 30136006656.

The previous prime is 101172856327. The next prime is 101172856339. The reversal of 101172856330 is 33658271101.

It can be written as a sum of positive squares in 8 ways, for example, as 10474908409 + 90697947921 = 102347^2 + 301161^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101172856330.

It is not an unprimeable number, because it can be changed into a prime (101172856339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358849 + ... + 575428.

Almost surely, 2101172856330 is an apocalyptic number.

101172856330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101172856330 is an abundant number, since it is smaller than the sum of its proper divisors (140386589126).

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

101172856330 is a wasteful number, since it uses less digits than its factorization.

101172856330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934328 (or 934321 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 101172856330 in words is "one hundred one billion, one hundred seventy-two million, eight hundred fifty-six thousand, three hundred thirty".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 49 65 70 85 91 98 119 130 170 182 221 238 245 442 455 490 595 637 833 910 1105 1190 1274 1547 1666 2210 3094 3185 4165 6370 7735 8330 10829 15470 21658 54145 108290 934277 1868554 4671385 6539939 9342770 12145601 13079878 15882709 24291202 31765418 32699695 45779573 60728005 65399390 79413545 85019207 91559146 111178963 121456010 158827090 170038414 206475217 222357926 228897865 412950434 425096035 457795730 555894815 595134449 778252741 850192070 1032376085 1111789630 1190268898 1445326519 1556505482 2064752170 2890653038 2975672245 3891263705 5951344490 7226632595 7782527410 10117285633 14453265190 20234571266 50586428165 101172856330