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20101212012 = 22371749128669
BaseRepresentation
bin10010101110001000…
…000010011101101100
31220212212222101000210
4102232020002131230
5312131402241022
613122342422420
71311061324440
oct225610023554
956785871023
1020101212012
118585679112
123a8ba31a10
131b84653cbb
14d89910820
157c9aaea0c
hex4ae20276c

20101212012 has 96 divisors (see below), whose sum is σ = 56873940480. Its totient is φ = 5394170880.

The previous prime is 20101211971. The next prime is 20101212023. The reversal of 20101212012 is 21021210102.

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

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, 686814 + ... + 715482.

It is an arithmetic number, because the mean of its divisors is an integer number (592436880).

Almost surely, 220101212012 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 20101212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28436970240).

20101212012 is an abundant number, since it is smaller than the sum of its proper divisors (36772728468).

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

20101212012 is a wasteful number, since it uses less digits than its factorization.

20101212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29191 (or 29189 counting only the distinct ones).

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

Adding to 20101212012 its reverse (21021210102), we get a palindrome (41122422114).

The spelling of 20101212012 in words is "twenty billion, one hundred one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 491 714 982 1428 1473 1964 2946 3437 5892 6874 8347 10311 13748 16694 20622 25041 28669 33388 41244 50082 57338 58429 86007 100164 114676 116858 172014 175287 200683 233716 344028 350574 401366 487373 602049 701148 802732 974746 1204098 1462119 1949492 2408196 2924238 3411611 5848476 6823222 10234833 13646444 14076479 20469666 28152958 40939332 42229437 56305916 84458874 98535353 168917748 197070706 239300143 295606059 394141412 478600286 591212118 717900429 957200572 1182424236 1435800858 1675101001 2871601716 3350202002 5025303003 6700404004 10050606006 20101212012