Search a number
-
+
10020123001032 = 2332345757396713
BaseRepresentation
bin1001000111001111110111…
…0111110100000011001000
31022110220200121012121202220
42101303331313310003020
52303132202442013112
633151103030454040
72052633663131634
oct221637567640310
938426617177686
1010020123001032
113213568234591
121159b72b04320
13578b8016b021
14268d958b1dc4
151259a68a898c
hex91cfddf40c8

10020123001032 has 64 divisors (see below), whose sum is σ = 26140088465280. Its totient is φ = 3194743951872.

The previous prime is 10020123000973. The next prime is 10020123001093. The reversal of 10020123001032 is 23010032102001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25059508 + ... + 25456220.

It is an arithmetic number, because the mean of its divisors is an integer number (408438882270).

Almost surely, 210020123001032 is an apocalyptic number.

10020123001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020123001032 is an abundant number, since it is smaller than the sum of its proper divisors (16119965464248).

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

10020123001032 is a wasteful number, since it uses less digits than its factorization.

10020123001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442502 (or 442498 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10020123001032 its reverse (23010032102001), we get a palindrome (33030155103033).

The spelling of 10020123001032 in words is "ten trillion, twenty billion, one hundred twenty-three million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 45757 91514 137271 183028 274542 366056 396713 549084 793426 1052411 1098168 1190139 1586852 2104822 2380278 3157233 3173704 4209644 4760556 6314466 8419288 9124399 9521112 12628932 18248798 25257864 27373197 36497596 54746394 72995192 109492788 218985576 18152396741 36304793482 54457190223 72609586964 108914380446 145219173928 217828760892 417505125043 435657521784 835010250086 1252515375129 1670020500172 2505030750258 3340041000344 5010061500516 10020123001032