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203143201323400 = 235213411905658549
BaseRepresentation
bin101110001100000111110110…
…010110100111100110001000
3222122021022002222110021220001
4232030013312112213212020
5203111244234014322100
62000014410502212344
760534416621612362
oct5614076626474610
9878238088407801
10203143201323400
115980060323a888
121a94a61b1240b4
138947424993a70
14382427d399d32
15187434a5b4d6a
hexb8c1f65a7988

203143201323400 has 96 divisors (see below), whose sum is σ = 521045160741000. Its totient is φ = 73177288243200.

The previous prime is 203143201323347. The next prime is 203143201323407. The reversal of 203143201323400 is 4323102341302.

It is a happy number.

203143201323400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 35965904076964 + 167177297246436 = 5997158^2 + 12929706^2 .

It is a super-2 number, since 2×2031432013234002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203143201323407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952722675 + ... + 952935874.

Almost surely, 2203143201323400 is an apocalyptic number.

203143201323400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203143201323400 is an abundant number, since it is smaller than the sum of its proper divisors (317901959417600).

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

203143201323400 is a wasteful number, since it uses less digits than its factorization.

203143201323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905658619 (or 1905658610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 203143201323400 its reverse (4323102341302), we get a palindrome (207466303664702).

The spelling of 203143201323400 in words is "two hundred three trillion, one hundred forty-three billion, two hundred one million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 82 100 104 130 164 200 205 260 325 328 410 520 533 650 820 1025 1066 1300 1640 2050 2132 2600 2665 4100 4264 5330 8200 10660 13325 21320 26650 53300 106600 1905658549 3811317098 7622634196 9528292745 15245268392 19056585490 24773561137 38113170980 47641463725 49547122274 76226341960 78132000509 95282927450 99094244548 123867805685 156264001018 190565854900 198188489096 247735611370 312528002036 381131709800 390660002545 495471222740 619339028425 625056004072 781320005090 990942445480 1015716006617 1238678056850 1562640010180 1953300012725 2031432013234 2477356113700 3125280020360 3906600025450 4062864026468 4954712227400 5078580033085 7813200050900 8125728052936 10157160066170 15626400101800 20314320132340 25392900165425 40628640264680 50785800330850 101571600661700 203143201323400