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10211212312 = 2372101349739
BaseRepresentation
bin10011000001010001…
…01011110000011000
3222100122012022221121
421200220223300120
5131403032243222
64405125415024
7511020605200
oct114050536030
928318168847
1010211212312
11436aa65a44
121b8b86a474
13c6969c082
146cc223400
153eb6ce5c7
hex260a2bc18

10211212312 has 96 divisors (see below), whose sum is σ = 22587390000. Its totient is φ = 4314643200.

The previous prime is 10211212289. The next prime is 10211212321. The reversal of 10211212312 is 21321211201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13817239 + ... + 13817977.

Almost surely, 210211212312 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 10211212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293695000).

10211212312 is an abundant number, since it is smaller than the sum of its proper divisors (12376177688).

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

10211212312 is a wasteful number, since it uses less digits than its factorization.

10211212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10211212312 its reverse (21321211201), we get a palindrome (31532423513).

The spelling of 10211212312 in words is "ten billion, two hundred eleven million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 349 392 404 698 707 739 808 1396 1414 1478 2443 2792 2828 2956 4886 4949 5173 5656 5912 9772 9898 10346 17101 19544 19796 20692 34202 35249 36211 39592 41384 68404 70498 72422 74639 136808 140996 144844 149278 246743 257911 281992 289688 298556 493486 515822 522473 597112 986972 1031644 1044946 1727201 1805377 1973944 2063288 2089892 3454402 3610754 3657311 4179784 6908804 7221508 7314622 12637639 13817608 14443016 14629244 25275278 26049011 29258488 50550556 52098022 101101112 104196044 182343077 208392088 364686154 729372308 1276401539 1458744616 2552803078 5105606156 10211212312