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10213354512 = 2432834012131
BaseRepresentation
bin10011000001100001…
…10110110000010000
3222100210020011111100
421200300312300100
5131404104321022
64405243344400
7511045036524
oct114060666020
928323204440
1010213354512
114371199459
121b90522100
13c69c6c14a
146cc61dd84
153eb9a41ac
hex260c36c10

10213354512 has 120 divisors (see below), whose sum is σ = 29013330528. Its totient is φ = 3353472000.

The previous prime is 10213354507. The next prime is 10213354523. The reversal of 10213354512 is 21545331201.

10213354512 is a `hidden beast` number, since 10 + 2 + 133 + 5 + 4 + 512 = 666.

It is a super-2 number, since 2×102133545122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4791687 + ... + 4793817.

Almost surely, 210213354512 is an apocalyptic number.

10213354512 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 10213354512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506665264).

10213354512 is an abundant number, since it is smaller than the sum of its proper divisors (18799976016).

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

10213354512 is a wasteful number, since it uses less digits than its factorization.

10213354512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10213354512 its reverse (21545331201), we get a palindrome (31758685713).

It can be divided in two parts, 1021 and 3354512, that added together give a palindrome (3355533).

The spelling of 10213354512 in words is "ten billion, two hundred thirteen million, three hundred fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 401 498 664 747 802 996 1203 1328 1494 1604 1992 2131 2406 2988 3208 3609 3984 4262 4812 5976 6393 6416 7218 8524 9624 11952 12786 14436 17048 19179 19248 25572 28872 33283 34096 38358 51144 57744 66566 76716 99849 102288 133132 153432 176873 199698 266264 299547 306864 353746 399396 530619 532528 599094 707492 798792 854531 1061238 1198188 1414984 1591857 1597584 1709062 2122476 2396376 2563593 2829968 3183714 3418124 4244952 4792752 5127186 6367428 6836248 7690779 8489904 10254372 12734856 13672496 15381558 20508744 25469712 30763116 41017488 61526232 70926073 123052464 141852146 212778219 283704292 425556438 567408584 638334657 851112876 1134817168 1276669314 1702225752 2553338628 3404451504 5106677256 10213354512