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10122224328 = 23321317511429
BaseRepresentation
bin10010110110101010…
…01110001011001000
3222010102202021101100
421123111032023020
5131212242134303
64352230221400
7505560326046
oct113325161310
928112667340
1010122224328
114324805a57
121b65ab4860
13c54112968
146c049b396
153e39a28a3
hex25b54e2c8

10122224328 has 96 divisors (see below), whose sum is σ = 27679766400. Its totient is φ = 3341520000.

The previous prime is 10122224327. The next prime is 10122224383. The reversal of 10122224328 is 82342222101.

10122224328 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 222 + 432 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10122224323) 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, 7082718 + ... + 7084146.

It is an arithmetic number, because the mean of its divisors is an integer number (288330900).

Almost surely, 210122224328 is an apocalyptic number.

10122224328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122224328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839883200).

10122224328 is an abundant number, since it is smaller than the sum of its proper divisors (17557542072).

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

10122224328 is a wasteful number, since it uses less digits than its factorization.

10122224328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10122224328 its reverse (82342222101), we get a palindrome (92464446429).

The spelling of 10122224328 in words is "ten billion, one hundred twenty-two million, two hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 751 786 1048 1179 1429 1502 1572 2253 2358 2858 3004 3144 4287 4506 4716 5716 6008 6759 8574 9012 9432 11432 12861 13518 17148 18024 25722 27036 34296 51444 54072 98381 102888 187199 196762 295143 374398 393524 561597 590286 748796 787048 885429 1073179 1123194 1180572 1497592 1684791 1770858 2146358 2246388 2361144 3219537 3369582 3541716 4292716 4492776 6439074 6739164 7083432 8585432 9658611 12878148 13478328 19317222 25756296 38634444 77268888 140586449 281172898 421759347 562345796 843518694 1124691592 1265278041 1687037388 2530556082 3374074776 5061112164 10122224328