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10213323220232 = 23117916359315199
BaseRepresentation
bin1001010010011111100110…
…0000001010010100001000
31100011101101001111122120222
42110213321200022110020
52314313341221021412
633415534054005212
72102613445656056
oct224477140122410
940141331448528
1010213323220232
11328849a773830
12118b4b1346808
1359115c7b7262
142744828751d6
1512aa12db3072
hex949f980a508

10213323220232 has 128 divisors (see below), whose sum is σ = 21322414080000. Its totient is φ = 4547552855040.

The previous prime is 10213323220223. The next prime is 10213323220273. The reversal of 10213323220232 is 23202232331201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671965769 + ... + 671980967.

It is an arithmetic number, because the mean of its divisors is an integer number (166581360000).

Almost surely, 210213323220232 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 10213323220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661207040000).

10213323220232 is an abundant number, since it is smaller than the sum of its proper divisors (11109090859768).

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

10213323220232 is a wasteful number, since it uses less digits than its factorization.

10213323220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16051 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 10213323220232 its reverse (23202232331201), we get a palindrome (33415555551433).

The spelling of 10213323220232 in words is "ten trillion, two hundred thirteen billion, three hundred twenty-three million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 79 88 158 163 316 326 593 632 652 869 1186 1304 1738 1793 2372 3476 3586 4744 6523 6952 7172 12877 13046 14344 15199 25754 26092 30398 46847 51508 52184 60796 93694 96659 103016 121592 141647 167189 187388 193318 283294 334378 374776 386636 515317 566588 668756 773272 1030634 1063249 1133176 1200721 1337512 2061268 2126498 2401442 2477437 4122536 4252996 4802884 4954874 7636061 8505992 9013007 9605768 9909748 13207931 15272122 18026014 19819496 26415862 27251807 30544244 36052028 52831724 54503614 61088488 72104056 83996671 99143077 105663448 109007228 167993342 195717523 198286154 218014456 335986684 391435046 396572308 671973368 712027553 782870092 793144616 1424055106 1469120141 1565740184 2152892753 2848110212 2938240282 4305785506 5696220424 5876480564 7832303083 8611571012 11752961128 15664606166 16160321551 17223142024 31329212332 32320643102 62658424664 64641286204 116060491139 129282572408 232120982278 464241964556 928483929112 1276665402529 2553330805058 5106661610116 10213323220232