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100012212010200 = 23352723812431431
BaseRepresentation
bin10110101111010111101000…
…010111101011110011011000
3111010010002000000100220221210
4112233113220113223303120
5101102100002233311300
6552412550444303120
730031433563414440
oct2657275027536330
9433102000326853
10100012212010200
1129959a39404196
12b273053541aa0
1343a615a1ab599
141a9a88ca5b120
15b8683196d050
hex5af5e85ebcd8

100012212010200 has 96 divisors (see below), whose sum is σ = 354328979708160. Its totient is φ = 22859934172800.

The previous prime is 100012212010181. The next prime is 100012212010211. The reversal of 100012212010200 is 2010212210001.

It is a super-3 number, since 3×1000122120102003 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11906211516 + ... + 11906219915.

It is an arithmetic number, because the mean of its divisors is an integer number (3690926871960).

Almost surely, 2100012212010200 is an apocalyptic number.

100012212010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012212010200 is an abundant number, since it is smaller than the sum of its proper divisors (254316767697960).

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

100012212010200 is a wasteful number, since it uses less digits than its factorization.

100012212010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23812431457 (or 23812431448 counting only the distinct ones).

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

Adding to 100012212010200 its reverse (2010212210001), we get a palindrome (102022424220201).

The spelling of 100012212010200 in words is "one hundred trillion, twelve billion, two hundred twelve million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 23812431431 47624862862 71437294293 95249725724 119062157155 142874588586 166687020017 190499451448 238124314310 285749177172 333374040034 357186471465 476248628620 500061060051 571498354344 595310785775 666748080068 714372942930 833435100085 952497257240 1000122120102 1190621571550 1333496160136 1428745885860 1666870200170 1785932357325 2000244240204 2381243143100 2500305300255 2857491771720 3333740400340 3571864714650 4000488480408 4167175500425 4762486286200 5000610600510 6667480800680 7143729429300 8334351000850 10001221201020 12501526501275 14287458858600 16668702001700 20002442402040 25003053002550 33337404003400 50006106005100 100012212010200