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23231014013300 = 2252476183976253
BaseRepresentation
bin1010100100000111001000…
…10101101000100101110100
310001020212022022100120201112
411102003210111220211310
511021104104041411200
6121224102553414152
74615246120005602
oct522034425504564
9101225268316645
1023231014013300
117447243863165
1227323ab70a358
13cc68a1600562
145a455c1d8872
152a445a6c6535
hex1520e4568974

23231014013300 has 144 divisors (see below), whose sum is σ = 52958389946112. Its totient is φ = 8837814105600.

The previous prime is 23231014013297. The next prime is 23231014013321. The reversal of 23231014013300 is 331041013232.

It is a super-2 number, since 2×232310140133002 (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 23307974 + ... + 24284226.

It is an arithmetic number, because the mean of its divisors is an integer number (367766596848).

Almost surely, 223231014013300 is an apocalyptic number.

23231014013300 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 23231014013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26479194973056).

23231014013300 is an abundant number, since it is smaller than the sum of its proper divisors (29727375932812).

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

23231014013300 is a wasteful number, since it uses less digits than its factorization.

23231014013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976458 (or 976451 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 23231014013300 its reverse (331041013232), we get a palindrome (23562055026532).

The spelling of 23231014013300 in words is "twenty-three trillion, two hundred thirty-one billion, fourteen million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 61 83 94 100 122 166 188 235 244 305 332 415 470 610 830 940 1175 1220 1525 1660 2075 2350 2867 3050 3901 4150 4700 5063 5734 6100 7802 8300 10126 11468 14335 15604 19505 20252 25315 28670 39010 50630 57340 71675 78020 97525 101260 126575 143350 195050 237961 253150 286700 390100 475922 506300 951844 976253 1189805 1952506 2379610 3905012 4759220 4881265 5949025 9762530 11898050 19525060 23796100 24406325 45883891 48812650 59551433 81028999 91767782 97625300 119102866 162057998 183535564 229419455 238205732 297757165 324115996 405144995 458838910 595514330 810289990 917677820 1147097275 1191028660 1488785825 1620579980 2025724975 2294194550 2798917351 2977571650 3808362953 4051449950 4588389100 4942768939 5597834702 5955143300 7616725906 8102899900 9885537878 11195669404 13994586755 15233451812 19041814765 19771075756 24713844695 27989173510 38083629530 49427689390 55978347020 69972933775 76167259060 95209073825 98855378780 123569223475 139945867550 190418147650 232310140133 247138446950 279891735100 380836295300 464620280266 494276893900 929240560532 1161550700665 2323101401330 4646202802660 5807753503325 11615507006650 23231014013300