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10212220211232 = 2531321368745989
BaseRepresentation
bin1001010010011011011111…
…0000100001000000100000
31100011021112011222222200210
42110212313300201000200
52314304111333224412
633415232412414120
72102544223361304
oct224466760410040
940137464888623
1010212220211232
113287a84093846
12118b243a77340
13591015121b00
142743ba191d04
1512a99b13583c
hex949b7c21020

10212220211232 has 144 divisors (see below), whose sum is σ = 29030534809920. Its totient is φ = 3141923705856.

The previous prime is 10212220211231. The next prime is 10212220211273. The reversal of 10212220211232 is 23211202221201.

It is a junction number, because it is equal to n+sod(n) for n = 10212220211199 and 10212220211208.

It is not an unprimeable number, because it can be changed into a prime (10212220211231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222034894 + ... + 222080882.

It is an arithmetic number, because the mean of its divisors is an integer number (201600936180).

Almost surely, 210212220211232 is an apocalyptic number.

10212220211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212220211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515267404960).

10212220211232 is an abundant number, since it is smaller than the sum of its proper divisors (18818314598688).

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

10212220211232 is a wasteful number, since it uses less digits than its factorization.

10212220211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59715 (or 59694 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10212220211232 its reverse (23211202221201), we get a palindrome (33423422432433).

The spelling of 10212220211232 in words is "ten trillion, two hundred twelve billion, two hundred twenty million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 13687 16224 27374 41061 45989 54748 82122 91978 109496 137967 164244 177931 183956 218992 275934 328488 355862 367912 437984 533793 551868 597857 656976 711724 735824 1067586 1103736 1195714 1313952 1423448 1471648 1793571 2135172 2207472 2313103 2391428 2846896 3587142 4270344 4414944 4626206 4782856 5693792 6939309 7174284 7772141 8540688 9252412 9565712 13878618 14348568 15544282 17081376 18504824 19131424 23316423 27757236 28697136 31088564 37009648 46632846 55514472 57394272 62177128 74019296 93265692 111028944 124354256 186531384 222057888 248708512 373062768 629451443 746125536 1258902886 1888354329 2517805772 3776708658 5035611544 7553417316 8182868759 10071223088 15106834632 16365737518 20142446176 24548606277 30213669264 32731475036 49097212554 60427338528 65462950072 98194425108 106377293867 130925900144 196388850216 212754587734 261851800288 319131881601 392777700432 425509175468 638263763202 785555400864 851018350936 1276527526404 1702036701872 2553055052808 3404073403744 5106110105616 10212220211232