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10100011212 = 22323767113173
BaseRepresentation
bin10010110100000000…
…11111000011001100
3222001212221201201100
421122000133003030
5131141100324322
64350114143100
7505200451554
oct113200370314
928055851640
1010100011212
114313213a05
121b5a581a90
13c4c6360c5
146bb558164
153e1a65dac
hex25a01f0cc

10100011212 has 72 divisors (see below), whose sum is σ = 26612187056. Its totient is φ = 3226760064.

The previous prime is 10100011157. The next prime is 10100011223. The reversal of 10100011212 is 21211000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100011194 and 10100011203.

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, 32658 + ... + 145830.

Almost surely, 210100011212 is an apocalyptic number.

10100011212 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 10100011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306093528).

10100011212 is an abundant number, since it is smaller than the sum of its proper divisors (16512175844).

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

10100011212 is a wasteful number, since it uses less digits than its factorization.

10100011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113287 (or 113282 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100011212 its reverse (21211000101), we get a palindrome (31311011313).

The spelling of 10100011212 in words is "ten billion, one hundred million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 444 603 666 804 1206 1332 2412 2479 4958 7437 9916 14874 22311 29748 44622 89244 113173 226346 339519 452692 679038 1018557 1358076 2037114 4074228 4187401 7582591 8374802 12562203 15165182 16749604 22747773 25124406 30330364 37686609 45495546 50248812 68243319 75373218 90991092 136486638 150746436 272973276 280555867 561111734 841667601 1122223468 1683335202 2525002803 3366670404 5050005606 10100011212