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11157225252 = 2233153619277
BaseRepresentation
bin10100110010000010…
…11011111100100100
31001210120021202201220
422121001123330210
5140322222202002
65043042020340
7543325564335
oct123101337444
931716252656
1011157225252
114805a65518
1221b46476b0
13108a686144
1477bb1a28c
154547997bc
hex29905bf24

11157225252 has 96 divisors (see below), whose sum is σ = 27832218624. Its totient is φ = 3472934400.

The previous prime is 11157225241. The next prime is 11157225263. The reversal of 11157225252 is 25252275111.

It is an interprime number because it is at equal distance from previous prime (11157225241) and next prime (11157225263).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198038 + ... + 1207314.

It is an arithmetic number, because the mean of its divisors is an integer number (289918944).

Almost surely, 211157225252 is an apocalyptic number.

11157225252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11157225252 is an abundant number, since it is smaller than the sum of its proper divisors (16674993372).

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

11157225252 is a wasteful number, since it uses less digits than its factorization.

11157225252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9429 (or 9427 counting only the distinct ones).

The product of its digits is 14000, while the sum is 33.

The spelling of 11157225252 in words is "eleven billion, one hundred fifty-seven million, two hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 31 53 61 62 93 106 122 124 159 183 186 212 244 318 366 372 636 732 1643 1891 3233 3286 3782 4929 5673 6466 6572 7564 9277 9699 9858 11346 12932 18554 19398 19716 22692 27831 37108 38796 55662 100223 111324 200446 287587 300669 400892 491681 565897 575174 601338 862761 983362 1131794 1150348 1202676 1475043 1697691 1725522 1966724 2263588 2950086 3395382 3451044 5900172 6790764 15242111 17542807 29992541 30484222 35085614 45726333 52628421 59985082 60968444 70171228 89977623 91452666 105256842 119970164 179955246 182905332 210513684 359910492 929768771 1859537542 2789306313 3719075084 5578612626 11157225252