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10122434433 = 3319313717203
BaseRepresentation
bin10010110110101100…
…00001011110000001
3222010110010221121000
421123112001132001
5131212320400213
64352234522213
7505562162436
oct113326013601
928113127530
1010122434433
1143249398a1
121b65b96369
13c54187497
146c0513b8d
153e39e4c73
hex25b581781

10122434433 has 64 divisors (see below), whose sum is σ = 16736051200. Its totient is φ = 6019323840.

The previous prime is 10122434431. The next prime is 10122434447. The reversal of 10122434433 is 33443422101.

10122434433 is a `hidden beast` number, since 1 + 0 + 1 + 224 + 3 + 4 + 433 = 666.

It is not a de Polignac number, because 10122434433 - 21 = 10122434431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10122434397 and 10122434406.

It is not an unprimeable number, because it can be changed into a prime (10122434431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579810 + ... + 597012.

It is an arithmetic number, because the mean of its divisors is an integer number (261500800).

Almost surely, 210122434433 is an apocalyptic number.

It is an amenable number.

10122434433 is a deficient number, since it is larger than the sum of its proper divisors (6613616767).

10122434433 is a wasteful number, since it uses less digits than its factorization.

10122434433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17299 (or 17293 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10122434433 its reverse (33443422101), we get a palindrome (43565856534).

The spelling of 10122434433 in words is "ten billion, one hundred twenty-two million, four hundred thirty-four thousand, four hundred thirty-three".

Divisors: 1 3 9 19 27 31 37 57 93 111 171 279 333 513 589 703 837 999 1147 1767 2109 3441 5301 6327 10323 15903 17203 18981 21793 30969 51609 65379 154827 196137 326857 464481 533293 588411 636511 980571 1599879 1909533 2941713 4799637 5728599 8825139 10132567 12093709 14398911 17185797 19731841 30397701 36281127 59195523 91193103 108843381 177586569 273579309 326530143 374904979 532759707 1124714937 3374144811 10122434433