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10120222242 = 2331331465041
BaseRepresentation
bin10010110110011011…
…00101011000100010
3222010021222120001000
421123031211120202
5131211234102432
64352115252430
7505534320054
oct113315453042
928107876030
1010120222242
114323668839
121b652aa116
13c538915b0
146c00d98d4
153e370957c
hex25b365622

10120222242 has 64 divisors (see below), whose sum is σ = 25000657920. Its totient is φ = 3013459200.

The previous prime is 10120222223. The next prime is 10120222243. The reversal of 10120222242 is 24222202101.

Adding to 10120222242 its reverse (24222202101), we get a palindrome (34342424343).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10120222243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210759 + ... + 254282.

It is an arithmetic number, because the mean of its divisors is an integer number (390635280).

Almost surely, 210120222242 is an apocalyptic number.

10120222242 is an abundant number, since it is smaller than the sum of its proper divisors (14880435678).

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

10120222242 is a wasteful number, since it uses less digits than its factorization.

10120222242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465096 (or 465090 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 10120222242 in words is "ten billion, one hundred twenty million, two hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1209 1674 2418 3627 7254 10881 21762 465041 930082 1395123 2790246 4185369 6045533 8370738 12091066 12556107 14416271 18136599 25112214 28832542 36273198 43248813 54409797 86497626 108819594 129746439 163229391 187411523 259492878 326458782 374823046 389239317 562234569 778478634 1124469138 1686703707 3373407414 5060111121 10120222242