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10041223320 = 2334529106867
BaseRepresentation
bin10010101101000000…
…01110100010011000
3221220210022222220000
421112200032202120
5131031023121240
64340214133000
7503554663362
oct112640164230
927823288800
1010041223320
114293010777
121b42951160
13c403c1a7b
146b3813d32
153db802430
hex25680e898

10041223320 has 160 divisors (see below), whose sum is σ = 34913775600. Its totient is φ = 2585302272.

The previous prime is 10041223319. The next prime is 10041223333. The reversal of 10041223320 is 2332214001.

10041223320 is a `hidden beast` number, since 1 + 0 + 0 + 412 + 233 + 20 = 666.

It is a super-2 number, since 2×100412233202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10041223293 and 10041223302.

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 39 ways as a sum of consecutive naturals, for example, 40527 + ... + 147393.

Almost surely, 210041223320 is an apocalyptic number.

10041223320 is a gapful number since it is divisible by the number (10) 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 10041223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456887800).

10041223320 is an abundant number, since it is smaller than the sum of its proper divisors (24872552280).

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

10041223320 is a wasteful number, since it uses less digits than its factorization.

10041223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106919 (or 106906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10041223320 its reverse (2332214001), we get a palindrome (12373437321).

The spelling of 10041223320 in words is "ten billion, forty-one million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5220 6264 7830 9396 10440 11745 15660 18792 23490 31320 46980 93960 106867 213734 320601 427468 534335 641202 854936 961803 1068670 1282404 1603005 1923606 2137340 2564808 2885409 3099143 3206010 3847212 4274680 4809015 5770818 6198286 6412020 7694424 8656227 9297429 9618030 11541636 12396572 12824040 14427045 15495715 17312454 18594858 19236060 23083272 24793144 27892287 28854090 30991430 34624908 37189716 38472120 43281135 46487145 55784574 57708180 61982860 69249816 74379432 83676861 86562270 92974290 111569148 115416360 123965720 139461435 167353722 173124540 185948580 223138296 251030583 278922870 334707444 346249080 371897160 418384305 502061166 557845740 669414888 836768610 1004122332 1115691480 1255152915 1673537220 2008244664 2510305830 3347074440 5020611660 10041223320