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10122021442 = 2132178919793
BaseRepresentation
bin10010110110101000…
…11100101001000010
3222010102100222002001
421123110130221002
5131212214141232
64352222014214
7505555522411
oct113324345102
928112328061
1010122021442
114324687585
121b65a1736a
13c54071500
146c0447478
153e39626e7
hex25b51ca42

10122021442 has 48 divisors (see below), whose sum is σ = 17604387720. Its totient is φ = 4347273216.

The previous prime is 10122021431. The next prime is 10122021499. The reversal of 10122021442 is 24412022101.

It can be written as a sum of positive squares in 12 ways, for example, as 217592001 + 9904429441 = 14751^2 + 99521^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501498 + ... + 521290.

Almost surely, 210122021442 is an apocalyptic number.

10122021442 is a deficient number, since it is larger than the sum of its proper divisors (7482366278).

10122021442 is a wasteful number, since it uses less digits than its factorization.

10122021442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19927 (or 19914 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10122021442 its reverse (24412022101), we get a palindrome (34534043543).

The spelling of 10122021442 in words is "ten billion, one hundred twenty-two million, twenty-one thousand, four hundred forty-two".

Divisors: 1 2 13 17 26 34 89 169 178 221 338 442 1157 1513 2314 2873 3026 5746 15041 19669 19793 30082 39338 39586 255697 257309 336481 511394 514618 672962 1761577 3345017 3523154 4374253 6690034 8748506 22900501 29946809 45801002 56865289 59893618 113730578 297706513 389308517 595413026 778617034 5061010721 10122021442