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202312132320 = 25353131346593
BaseRepresentation
bin1011110001101010111…
…1100010011011100000
3201100012110222011202210
42330122233202123200
511303313401213240
6232535123042120
720421324515364
oct2743257423340
9640173864683
10202312132320
1178888a19461
1233261b10340
13161023515cc
149b131cb2a4
1553e1440780
hex2f1abe26e0

202312132320 has 96 divisors (see below), whose sum is σ = 639319740192. Its totient is φ = 53777498112.

The previous prime is 202312132283. The next prime is 202312132333. The reversal of 202312132320 is 23231213202.

It is a happy number.

202312132320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523057 + ... + 823536.

It is an arithmetic number, because the mean of its divisors is an integer number (6659580627).

Almost surely, 2202312132320 is an apocalyptic number.

202312132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202312132320 is an abundant number, since it is smaller than the sum of its proper divisors (437007607872).

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

202312132320 is a wasteful number, since it uses less digits than its factorization.

202312132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346924 (or 1346916 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 202312132320 its reverse (23231213202), we get a palindrome (225543345522).

The spelling of 202312132320 in words is "two hundred two billion, three hundred twelve million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 10016 12520 15024 18780 25040 30048 37560 50080 75120 150240 1346593 2693186 4039779 5386372 6732965 8079558 10772744 13465930 16159116 20198895 21545488 26931860 32318232 40397790 43090976 53863720 64636464 80795580 107727440 129272928 161591160 215454880 323182320 421483609 646364640 842967218 1264450827 1685934436 2107418045 2528901654 3371868872 4214836090 5057803308 6322254135 6743737744 8429672180 10115606616 12644508270 13487475488 16859344360 20231213232 25289016540 33718688720 40462426464 50578033080 67437377440 101156066160 202312132320