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10334324412 = 223617212263
BaseRepresentation
bin10011001111111100…
…10100011010111100
3222200012212002000000
421213332110122330
5132131041340122
64425244234300
7514044210456
oct114776243274
928605762000
1010334324412
114423502985
122004b3b990
13c89045679
1470070d2d6
154073ec0ac
hex267f946bc

10334324412 has 126 divisors (see below), whose sum is σ = 28806382248. Its totient is φ = 3241876608.

The previous prime is 10334324401. The next prime is 10334324459. The reversal of 10334324412 is 21442343301.

10334324412 is a `hidden beast` number, since 1 + 0 + 334 + 324 + 4 + 1 + 2 = 666.

It is a super-2 number, since 2×103343244122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 836593 + ... + 848855.

Almost surely, 210334324412 is an apocalyptic number.

10334324412 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 10334324412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403191124).

10334324412 is an abundant number, since it is smaller than the sum of its proper divisors (18472057836).

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

10334324412 is a wasteful number, since it uses less digits than its factorization.

10334324412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12319 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10334324412 its reverse (21442343301), we get a palindrome (31776667713).

The spelling of 10334324412 in words is "ten billion, three hundred thirty-four million, three hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 289 306 324 459 486 578 612 729 867 918 972 1156 1377 1458 1734 1836 2601 2754 2916 3468 4131 5202 5508 7803 8262 10404 12263 12393 15606 16524 23409 24526 24786 31212 36789 46818 49052 49572 70227 73578 93636 110367 140454 147156 208471 210681 220734 280908 331101 416942 421362 441468 625413 662202 833884 842724 993303 1250826 1324404 1876239 1986606 2501652 2979909 3544007 3752478 3973212 5628717 5959818 7088014 7504956 8939727 10632021 11257434 11919636 14176028 16886151 17879454 21264042 22514868 31896063 33772302 35758908 42528084 50658453 63792126 67544604 95688189 101316906 127584252 151975359 191376378 202633812 287064567 303950718 382752756 574129134 607901436 861193701 1148258268 1722387402 2583581103 3444774804 5167162206 10334324412