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23331003320120 = 23547127263371549
BaseRepresentation
bin1010100111000001011000…
…01010100100011100111000
310001121102101201212122200112
411103200230022210130320
511024223343322220440
6121342040455323452
74625416004046626
oct523405412443470
9101542351778615
1023331003320120
117485694155321
122749855980588
131003147b37a72
145a9325a74516
152a6d5d9ec965
hex15382c2a4738

23331003320120 has 128 divisors (see below), whose sum is σ = 54239404032000. Its totient is φ = 9027439335936.

The previous prime is 23331003320113. The next prime is 23331003320159. The reversal of 23331003320120 is 2102330013332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62608106 + ... + 62979654.

It is an arithmetic number, because the mean of its divisors is an integer number (423745344000).

Almost surely, 223331003320120 is an apocalyptic number.

23331003320120 is a gapful number since it is divisible by the number (20) 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 23331003320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119702016000).

23331003320120 is an abundant number, since it is smaller than the sum of its proper divisors (30908400711880).

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

23331003320120 is a wasteful number, since it uses less digits than its factorization.

23331003320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371997 (or 371993 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 23331003320120 its reverse (2102330013332), we get a palindrome (25433333333452).

The spelling of 23331003320120 in words is "twenty-three trillion, three hundred thirty-one billion, three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 127 188 235 254 263 376 470 508 526 635 940 1016 1052 1270 1315 1880 2104 2540 2630 5080 5260 5969 10520 11938 12361 23876 24722 29845 33401 47752 49444 59690 61805 66802 98888 119380 123610 133604 167005 238760 247220 267208 334010 371549 494440 668020 743098 1336040 1486196 1569847 1857745 2972392 3139694 3715490 6279388 7430980 7849235 12558776 14861960 15698470 17462803 31396940 34925606 47186723 62793880 69851212 87314015 94373446 97717387 139702424 174628030 188746892 195434774 235933615 349256060 377493784 390869548 471867230 488586935 698512120 781739096 943734460 977173870 1887468920 1954347740 2217775981 3908695480 4435551962 4592717189 8871103924 9185434378 11088879905 12410108149 17742207848 18370868756 22177759810 22963585945 24820216298 36741737512 44355519620 45927171890 49640432596 62050540745 88711039240 91854343780 99280865192 124101081490 183708687560 248202162980 496404325960 583275083003 1166550166006 2333100332012 2916375415015 4666200664024 5832750830030 11665501660060 23331003320120