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10201102212 = 22371710170729
BaseRepresentation
bin10011000000000100…
…00111011110000100
3222022221011200111110
421200002013132010
5131342440232322
64404125005020
7510535636530
oct114002073604
928287150443
1010201102212
114365290094
121b883b3770
13c6756c372
146cab50bc0
153ea883c0c
hex260087784

10201102212 has 96 divisors (see below), whose sum is σ = 29088702720. Its totient is φ = 2715955200.

The previous prime is 10201102207. The next prime is 10201102217. The reversal of 10201102212 is 21220110201.

It is an interprime number because it is at equal distance from previous prime (10201102207) and next prime (10201102217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10201102217) 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, 108864 + ... + 179592.

It is an arithmetic number, because the mean of its divisors is an integer number (303007320).

Almost surely, 210201102212 is an apocalyptic number.

10201102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544351360).

10201102212 is an abundant number, since it is smaller than the sum of its proper divisors (18887600508).

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

10201102212 is a wasteful number, since it uses less digits than its factorization.

10201102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70861 (or 70859 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201102212 its reverse (21220110201), we get a palindrome (31421212413).

The spelling of 10201102212 in words is "ten billion, two hundred one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 101 102 119 202 204 238 303 357 404 476 606 707 714 1212 1414 1428 1717 2121 2828 3434 4242 5151 6868 8484 10302 12019 20604 24038 36057 48076 70729 72114 141458 144228 212187 282916 424374 495103 848748 990206 1202393 1485309 1980412 2404786 2970618 3607179 4809572 5941236 7143629 7214358 8416751 14287258 14428716 16833502 21430887 25250253 28574516 33667004 42861774 50005403 50500506 85723548 100010806 101001012 121441693 150016209 200021612 242883386 300032418 364325079 485766772 600064836 728650158 850091851 1457300316 1700183702 2550275553 3400367404 5100551106 10201102212