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100212021000212 = 221119432853797687
BaseRepresentation
bin10110110010010001101101…
…111010011111100000010100
3111010211011202001020022000012
4112302101231322133200110
5101113333204334001322
6553044433352335352
730052036204666142
oct2662215572374024
9433734661208005
10100212021000212
1129a267523727a0
12b2a59170a4558
1343bbc50a703a4
141aa640561a592
15b8bb28261ae2
hex5b246de9f814

100212021000212 has 96 divisors (see below), whose sum is σ = 206075665044480. Its totient is φ = 42148023563520.

The previous prime is 100212021000211. The next prime is 100212021000229. The reversal of 100212021000212 is 212000120212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212021000211) 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, 1025799233 + ... + 1025896919.

It is an arithmetic number, because the mean of its divisors is an integer number (2146621510880).

Almost surely, 2100212021000212 is an apocalyptic number.

It is an amenable number.

100212021000212 is an abundant number, since it is smaller than the sum of its proper divisors (105863644044268).

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

100212021000212 is a wasteful number, since it uses less digits than its factorization.

100212021000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126301 (or 126299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212021000212 its reverse (212000120212001), we get a palindrome (312212141212213).

The spelling of 100212021000212 in words is "one hundred trillion, two hundred twelve billion, twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 11 19 22 38 43 44 76 86 172 209 418 473 817 836 946 1634 1892 3268 8987 17974 28537 35948 57074 97687 114148 195374 313907 390748 542203 627814 1074557 1084406 1227091 1255628 1856053 2149114 2168812 2454182 3712106 4200541 4298228 4908364 5964233 7424212 8401082 11928466 13498001 16802164 20416583 23314729 23856932 26996002 40833166 46205951 46629458 53992004 79810279 81666332 92411902 93258916 159620558 184823804 256462019 319241116 512924038 877913069 1025848076 1755826138 2787693919 3511652276 5575387838 11150775676 30664633109 52966184461 61329266218 105932368922 119870838517 122658532436 211864737844 239741677034 479483354068 582628029071 1165256058142 1318579223687 2277545931823 2330512116284 2637158447374 4555091863646 5274316894748 9110183727292 25053005250053 50106010500106 100212021000212