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221002010012 = 227172327174489
BaseRepresentation
bin1100110111010010111…
…1110000110110011100
3210010110000021100002002
43031310233300312130
512110103003310022
6245305452021432
721652431042620
oct3156457606634
9703400240062
10221002010012
11857a9967173
12369b9161878
1317ac0488b34
14a9a74b9180
155b3716c092
hex3374bf0d9c

221002010012 has 96 divisors (see below), whose sum is σ = 490160885760. Its totient is φ = 84952074240.

The previous prime is 221002010011. The next prime is 221002010039. The reversal of 221002010012 is 210010200122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221002009975 and 221002010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002010011) 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, 2929664 + ... + 3004152.

It is an arithmetic number, because the mean of its divisors is an integer number (5105842560).

Almost surely, 2221002010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245080442880).

221002010012 is an abundant number, since it is smaller than the sum of its proper divisors (269158875748).

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

221002010012 is a wasteful number, since it uses less digits than its factorization.

221002010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74811 (or 74809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221002010012 its reverse (210010200122), we get a palindrome (431012210134).

The spelling of 221002010012 in words is "two hundred twenty-one billion, two million, ten thousand, twelve".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 271 322 391 476 542 644 782 1084 1564 1897 2737 3794 4607 5474 6233 7588 9214 10948 12466 18428 24932 32249 43631 64498 74489 87262 105961 128996 148978 174524 211922 297956 423844 521423 741727 1042846 1266313 1483454 1713247 2085692 2532626 2966908 3426494 5065252 6852988 8864191 11992729 17728382 20186519 23985458 29125199 35456764 40373038 47970916 58250398 80746076 116500796 141305633 203876393 282611266 343170823 407752786 464289937 565222532 686341646 815505572 928579874 1372683292 1857159748 2402195761 3250029559 4804391522 6500059118 7892928929 9608783044 13000118236 15785857858 31571715716 55250502503 110501005006 221002010012