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10342121504 = 2511135342643
BaseRepresentation
bin10011010000111000…
…00100000000100000
3222200202112012121012
421220130010000200
5132140040342004
64430123320052
7514200403511
oct115034040040
928622465535
1010342121504
114427948a60
122007680028
13c8a845630
1470177ca08
15407e3c46e
hex268704020

10342121504 has 96 divisors (see below), whose sum is σ = 24372581184. Its totient is φ = 4257377280.

The previous prime is 10342121501. The next prime is 10342121507. The reversal of 10342121504 is 40512124301.

It is an interprime number because it is at equal distance from previous prime (10342121501) and next prime (10342121507).

It is a self number, because there is not a number n which added to its sum of digits gives 10342121504.

It is not an unprimeable number, because it can be changed into a prime (10342121501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221207 + ... + 263849.

It is an arithmetic number, because the mean of its divisors is an integer number (253881054).

Almost surely, 210342121504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186290592).

10342121504 is an abundant number, since it is smaller than the sum of its proper divisors (14030459680).

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

10342121504 is a wasteful number, since it uses less digits than its factorization.

10342121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42730 (or 42722 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10342121504 its reverse (40512124301), we get a palindrome (50854245805).

The spelling of 10342121504 in words is "ten billion, three hundred forty-two million, one hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 88 104 106 143 176 208 212 286 352 416 424 572 583 689 848 1144 1166 1378 1696 2288 2332 2756 4576 4664 5512 7579 9328 11024 15158 18656 22048 30316 42643 60632 85286 121264 170572 242528 341144 469073 554359 682288 938146 1108718 1364576 1876292 2217436 2260079 3752584 4434872 4520158 6097949 7505168 8869744 9040316 12195898 15010336 17739488 18080632 24391796 24860869 29381027 36161264 48783592 49721738 58762054 72322528 97567184 99443476 117524108 195134368 198886952 235048216 323191297 397773904 470096432 646382594 795547808 940192864 1292765188 2585530376 5171060752 10342121504