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10122633444 = 22372111565033
BaseRepresentation
bin10010110110101101…
…10010000011100100
3222010110112001120210
421123112302003210
5131212343232234
64352243055420
7505563651600
oct113326620344
928113461523
1010122633444
114324a65370
121b66071570
13c54226c41
146c0566500
153e3a33be9
hex25b5b20e4

10122633444 has 72 divisors (see below), whose sum is σ = 29973531168. Its totient is φ = 2629253760.

The previous prime is 10122633407. The next prime is 10122633449. The reversal of 10122633444 is 44433622101.

It is a super-2 number, since 2×101226334442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122633449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776049 + ... + 788984.

It is an arithmetic number, because the mean of its divisors is an integer number (416299044).

Almost surely, 210122633444 is an apocalyptic number.

10122633444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10122633444 is an abundant number, since it is smaller than the sum of its proper divisors (19850897724).

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

10122633444 is a wasteful number, since it uses less digits than its factorization.

10122633444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565065 (or 1565056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 10122633444 in words is "ten billion, one hundred twenty-two million, six hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 1565033 3130066 4695099 6260132 9390198 10955231 17215363 18780396 21910462 32865693 34430726 43820924 51646089 65731386 68861452 76686617 103292178 120507541 131462772 153373234 206584356 230059851 241015082 306746468 361522623 460119702 482030164 723045246 843552787 920239404 1446090492 1687105574 2530658361 3374211148 5061316722 10122633444