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10323223020032 = 29138917539941
BaseRepresentation
bin1001011000111001000000…
…0010101000001000000000
31100112220001011100221010112
42112032100002220020000
52323113430043120112
633542231224050452
72113554042601466
oct226162002501000
940486034327115
1010323223020032
1133200662a5a5a
1211a8862603a28
1359b6253004b0
1427990a614836
1512d7e62b6a22
hex963900a8200

10323223020032 has 160 divisors (see below), whose sum is σ = 22477578686640. Its totient is φ = 4707868999680.

The previous prime is 10323223020007. The next prime is 10323223020059. The reversal of 10323223020032 is 23002032232301.

It can be written as a sum of positive squares in 8 ways, for example, as 732160880896 + 9591062139136 = 855664^2 + 3096944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038444182 + ... + 1038454122.

Almost surely, 210323223020032 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 10323223020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238789343320).

10323223020032 is an abundant number, since it is smaller than the sum of its proper divisors (12154355666608).

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

10323223020032 is an equidigital number, since it uses as much as digits as its factorization.

10323223020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11814 (or 11798 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 10323223020032 its reverse (23002032232301), we get a palindrome (33325255252333).

The spelling of 10323223020032 in words is "ten trillion, three hundred twenty-three billion, two hundred twenty-three million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 356 416 512 712 832 1157 1424 1664 1753 2314 2848 3328 3506 4628 5696 6656 7012 9256 9941 11392 14024 18512 19882 22784 22789 28048 37024 39764 45568 45578 56096 74048 79528 91156 112192 129233 148096 156017 159056 182312 224384 258466 296192 312034 318112 364624 448768 516932 592384 624068 636224 729248 884749 897536 1033864 1248136 1272448 1458496 1769498 2028221 2067728 2496272 2544896 2916992 3538996 4056442 4135456 4992544 5089792 5833984 7077992 8112884 8270912 9985088 11501737 11667968 14155984 16225768 16541824 17426573 19970176 23003474 28311968 32451536 33083648 34853146 39940352 46006948 56623936 64903072 66167296 69706292 79880704 92013896 113247872 129806144 139412584 184027792 226495744 226545449 259612288 278825168 368055584 452991488 453090898 519224576 557650336 736111168 906181796 1038449152 1115300672 1472222336 1550964997 1812363592 2230601344 2944444672 3101929994 3624727184 4461202688 5888889344 6203859988 7249454368 8922405376 12407719976 14498908736 20162544961 24815439952 28997817472 40325089922 49630879904 57995634944 80650179844 99261759808 115991269888 161300359688 198523519616 322600719376 397047039232 645201438752 794094078464 1290402877504 2580805755008 5161611510016 10323223020032