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10031222032 = 2413294147863
BaseRepresentation
bin10010101011110100…
…00100110100010000
3221220002111212200221
421111322010310100
5131020443101112
64335215522424
7503403660166
oct112572046420
927802455627
1010031222032
1142883aa647
121b3b529414
13c3b2cc750
146b236d236
153da9c8e07
hex255e84d10

10031222032 has 160 divisors (see below), whose sum is σ = 22678548480. Its totient is φ = 4263383040.

The previous prime is 10031222029. The next prime is 10031222039. The reversal of 10031222032 is 23022213001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10031221997 and 10031222015.

It is not an unprimeable number, because it can be changed into a prime (10031222039) 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, 11623233 + ... + 11624095.

It is an arithmetic number, because the mean of its divisors is an integer number (141740928).

Almost surely, 210031222032 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 10031222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339274240).

10031222032 is an abundant number, since it is smaller than the sum of its proper divisors (12647326448).

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

10031222032 is a wasteful number, since it uses less digits than its factorization.

10031222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10031222032 its reverse (23022213001), we get a palindrome (33053435033).

The spelling of 10031222032 in words is "ten billion, thirty-one million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 41 47 52 58 82 94 104 116 164 188 208 232 328 376 377 464 533 611 656 752 754 863 1066 1189 1222 1363 1508 1726 1927 2132 2378 2444 2726 3016 3452 3854 4264 4756 4888 5452 6032 6904 7708 8528 9512 9776 10904 11219 13808 15416 15457 17719 19024 21808 22438 25027 25051 30832 30914 35383 35438 40561 44876 50054 50102 55883 61828 70766 70876 81122 89752 100108 100204 111766 123656 141532 141752 162244 179504 200216 200408 223532 247312 283064 283504 324488 325351 400432 400816 447064 459979 527293 566128 648976 650702 726479 894128 919958 1026107 1054586 1176269 1301404 1452958 1663001 1839916 2052214 2109172 2352538 2602808 2905916 3326002 3679832 4104428 4218344 4705076 5205616 5811832 6652004 7359664 8208856 8436688 9410152 11623664 13304008 13339391 15291497 16417712 18820304 21619013 26608016 26678782 30582994 43238026 48227029 53357564 61165988 86476052 96454058 106715128 122331976 172952104 192908116 213430256 244663952 345904208 385816232 626951377 771632464 1253902754 2507805508 5015611016 10031222032