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203132113001004 = 2231131137362345101
BaseRepresentation
bin101110001011111101100001…
…011100000001101000101100
3222122020020111012211011002210
4232023331201130001220230
5203111104031412013004
62000005334321050420
760533545060462005
oct5613754134015054
9878206435734083
10203132113001004
11597a6933167080
121a948445786a10
138946378683c55
14382390a8981ac
151873debdcb089
hexb8bf61701a2c

203132113001004 has 96 divisors (see below), whose sum is σ = 537638966065152. Its totient is φ = 59134720320000.

The previous prime is 203132113000997. The next prime is 203132113001011. The reversal of 203132113001004 is 400100311231302.

It is an interprime number because it is at equal distance from previous prime (203132113000997) and next prime (203132113001011).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180611947 + ... + 181733154.

It is an arithmetic number, because the mean of its divisors is an integer number (5600405896512).

Almost surely, 2203132113001004 is an apocalyptic number.

It is an amenable number.

203132113001004 is an abundant number, since it is smaller than the sum of its proper divisors (334506853064148).

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

203132113001004 is a wasteful number, since it uses less digits than its factorization.

203132113001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362345287 (or 362345285 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 203132113001004 its reverse (400100311231302), we get a palindrome (603232424232306).

The spelling of 203132113001004 in words is "two hundred three trillion, one hundred thirty-two billion, one hundred thirteen million, one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 137 186 274 341 372 411 548 682 822 1023 1364 1507 1644 2046 3014 4092 4247 4521 6028 8494 9042 12741 16988 18084 25482 46717 50964 93434 140151 186868 280302 560604 362345101 724690202 1087035303 1449380404 2174070606 3985796111 4348141212 7971592222 11232698131 11957388333 15943184444 22465396262 23914776666 33698094393 44930792524 47829553332 49641278837 67396188786 99282557674 123559679441 134792377572 148923836511 198565115348 247119358882 297847673022 370679038323 494238717764 546054067207 595695346044 741358076646 1092108134414 1482716153292 1538879643947 1638162201621 2184216268828 3077759287894 3276324403242 4616638931841 6155518575788 6552648806484 9233277863682 16927676083417 18466555727364 33855352166834 50783028250251 67710704333668 101566056500502 203132113001004