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20100001012212 = 223111013847391903
BaseRepresentation
bin1001001000111111001010…
…11010111001100111110100
32122011112121122000021101210
410210133211122321213310
510113304300224342322
6110425451334521420
74143114522424302
oct444374532714764
978145548007353
1020100001012212
11644a3a9624680
122307621806270
13b2a564089104
144d6bb94a3272
1524cca922070c
hex1247e56b99f4

20100001012212 has 96 divisors (see below), whose sum is σ = 51683772801024. Its totient is φ = 6029020368000.

The previous prime is 20100001012183. The next prime is 20100001012253. The reversal of 20100001012212 is 21221010000102.

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 31 ways as a sum of consecutive naturals, for example, 51092253 + ... + 51484155.

It is an arithmetic number, because the mean of its divisors is an integer number (538372633344).

Almost surely, 220100001012212 is an apocalyptic number.

20100001012212 is a gapful number since it is divisible by the number (22) 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 20100001012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25841886400512).

20100001012212 is an abundant number, since it is smaller than the sum of its proper divisors (31583771788812).

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

20100001012212 is a wasteful number, since it uses less digits than its factorization.

20100001012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395869 (or 395867 counting only the distinct ones).

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

Adding to 20100001012212 its reverse (21221010000102), we get a palindrome (41321011012314).

The spelling of 20100001012212 in words is "twenty trillion, one hundred billion, one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 3847 4444 6666 7694 11541 13332 15388 23082 42317 46164 84634 126951 169268 253902 388547 391903 507804 777094 783806 1165641 1175709 1554188 1567612 2331282 2351418 4274017 4310933 4662564 4702836 8548034 8621866 12822051 12932799 17096068 17243732 25644102 25865598 39582203 51288204 51731196 79164406 118746609 158328812 237493218 435404233 474986436 870808466 1306212699 1507650841 1741616932 2612425398 3015301682 4522952523 5224850796 6030603364 9045905046 16584159251 18091810092 33168318502 49752477753 66336637004 99504955506 152272734941 199009911012 304545469882 456818204823 609090939764 913636409646 1675000084351 1827272819292 3350000168702 5025000253053 6700000337404 10050000506106 20100001012212