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953828131201 = 11416171488321
BaseRepresentation
bin11011110000101001001…
…01100100000110000001
310101011222220220110122021
431320110211210012001
5111111420000144301
62010103235041441
7125624515225441
oct15702445440601
93334886813567
10953828131201
11338575128540
12134a37140281
136bc3a66270a
14342462cc121
1519c27ee78a1
hexde14964181

953828131201 has 32 divisors (see below), whose sum is σ = 1098654181632. Its totient is φ = 820377600000.

The previous prime is 953828131181. The next prime is 953828131297. The reversal of 953828131201 is 102131828359.

It is a happy number.

It is a 3-Lehmer number, since φ(953828131201) divides (953828131201-1)3.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2k-953828131201 is a prime.

It is a deceptive number, since it divides R953828131200.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (953828134201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709121 + ... + 2197441.

It is an arithmetic number, because the mean of its divisors is an integer number (34332943176).

It is a Poulet number, since it divides 2953828131200-1.

Almost surely, 2953828131201 is an apocalyptic number.

953828131201 is the 488321-st decagonal number.

It is an amenable number.

953828131201 is a deficient number, since it is larger than the sum of its proper divisors (144826050431).

953828131201 is a wasteful number, since it uses less digits than its factorization.

953828131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488505.

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 953828131201 in words is "nine hundred fifty-three billion, eight hundred twenty-eight million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 11 41 61 71 451 671 781 2501 2911 4331 27511 32021 47641 177571 488321 1953281 5371531 20021161 29787581 34670791 220232771 327663391 381378701 1221290821 1421502431 2114918251 13434199031 15636526741 23264100761 86711648291 953828131201