Search a number
-
+
213155454402 = 2321141109324023
BaseRepresentation
bin1100011010000100001…
…1100001110111000010
3202101012011121000022100
43012201003201313002
511443020244020102
6241531113051230
721254122316322
oct3064103416702
9671164530270
10213155454402
1182442773870
12353893b6b16
131713c97c617
14a461355282
155828381a1c
hex31a10e1dc2

213155454402 has 96 divisors (see below), whose sum is σ = 516604023936. Its totient is φ = 62956857600.

The previous prime is 213155454377. The next prime is 213155454437. The reversal of 213155454402 is 204454551312.

213155454402 is a `hidden beast` number, since 2 + 13 + 1 + 554 + 54 + 40 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8860963 + ... + 8884985.

It is an arithmetic number, because the mean of its divisors is an integer number (5381291916).

Almost surely, 2213155454402 is an apocalyptic number.

213155454402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213155454402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258302011968).

213155454402 is an abundant number, since it is smaller than the sum of its proper divisors (303448569534).

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

213155454402 is a wasteful number, since it uses less digits than its factorization.

213155454402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25176 (or 25173 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 213155454402 in words is "two hundred thirteen billion, one hundred fifty-five million, four hundred fifty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1093 1353 2186 2706 3279 4059 6558 8118 9837 12023 19674 24023 24046 36069 44813 48046 72069 72138 89626 108207 134439 144138 216207 216414 264253 268878 403317 432414 492943 528506 792759 806634 984943 985886 1478829 1585518 1969886 2378277 2954829 2957658 4436487 4756554 5909658 8864487 8872974 10834373 17728974 21668746 26257139 32503119 52514278 65006238 78771417 97509357 157542834 195018714 236314251 288828529 472628502 577657058 866485587 1076542699 1732971174 2153085398 2599456761 3229628097 5198913522 6459256194 9688884291 11841969689 19377768582 23683939378 35525909067 71051818134 106577727201 213155454402