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10212000024044 = 22721319832541439
BaseRepresentation
bin1001010010011010101010…
…1000100100010111101100
31100011020221211200022122202
42110212222220210113230
52314303134001232134
633415154505201032
72102535610665200
oct224465250442754
940136854608582
1010212000024044
113287980872965
12118b1a2190178
13590cab61a130
14274398c36b00
1512a986b3ed7e
hex949aaa245ec

10212000024044 has 144 divisors (see below), whose sum is σ = 23850092851200. Its totient is φ = 3781171787904.

The previous prime is 10212000024001. The next prime is 10212000024103. The reversal of 10212000024044 is 44042000021201.

It is a super-2 number, since 2×102120000240442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2747477 + ... + 5288915.

It is an arithmetic number, because the mean of its divisors is an integer number (165625644800).

Almost surely, 210212000024044 is an apocalyptic number.

10212000024044 is a gapful number since it is divisible by the number (14) 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 10212000024044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925046425600).

10212000024044 is an abundant number, since it is smaller than the sum of its proper divisors (13638092827156).

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

10212000024044 is a wasteful number, since it uses less digits than its factorization.

10212000024044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541572 (or 2541563 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10212000024044 its reverse (44042000021201), we get a palindrome (54254000045245).

The spelling of 10212000024044 in words is "ten trillion, two hundred twelve billion, twenty-four thousand, forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 83 91 98 133 166 182 196 247 266 332 364 494 532 581 637 931 988 1079 1162 1274 1577 1729 1862 2158 2324 2548 3154 3458 3724 4067 4316 6308 6916 7553 8134 11039 12103 15106 16268 20501 22078 24206 30212 41002 44156 48412 52871 77273 82004 105742 143507 154546 211484 287014 309092 574028 1004549 2009098 2541439 4018196 5082878 10165756 17790073 33038707 35580146 48287341 66077414 71160292 96574682 124530511 132154828 193149364 210939437 231270949 249061022 338011387 421878874 462541898 498122044 627735433 676022774 843757748 925083796 1255470866 1352045548 1476576059 1618896643 2366079709 2510941732 2742212681 2953152118 3237793286 4007849303 4394148031 4732159418 5484425362 5906304236 6475586572 8015698606 8788296062 9464318836 10336032413 10968850724 16031397212 17576592124 19195488767 20672064826 28054945121 30759036217 38390977534 41344129652 52102040939 56109890242 61518072434 76781955068 104204081878 112219780484 123036144868 134368421369 196384615847 208408163756 268736842738 364714286573 392769231694 537473685476 729428573146 785538463388 1458857146292 2553000006011 5106000012022 10212000024044