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212101256000452 = 227132418592814697
BaseRepresentation
bin110000001110011110101100…
…000001010011001111000100
31000210222200102012201221022211
4300032132230001103033010
5210300031333014003302
62031033545531033204
762450544564202450
oct6016365401231704
91023880365657284
10212101256000452
11616447015a8a55
121b95678959b804
1391470a775c020
143a53a813ad660
15197c3915e7ad7
hexc0e7ac0533c4

212101256000452 has 96 divisors (see below), whose sum is σ = 459263239043840. Its totient is φ = 83462716846080.

The previous prime is 212101256000449. The next prime is 212101256000453. The reversal of 212101256000452 is 254000652101212.

It is not an unprimeable number, because it can be changed into a prime (212101256000453) 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, 73947568 + ... + 76762264.

Almost surely, 2212101256000452 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 212101256000452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229631619521920).

212101256000452 is an abundant number, since it is smaller than the sum of its proper divisors (247161983043388).

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

212101256000452 is a wasteful number, since it uses less digits than its factorization.

212101256000452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815821 (or 2815819 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 212101256000452 in words is "two hundred twelve trillion, one hundred one billion, two hundred fifty-six million, four hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 52 91 182 241 364 482 859 964 1687 1718 3133 3374 3436 6013 6266 6748 11167 12026 12532 21931 22334 24052 43862 44668 78169 87724 156338 207019 312676 414038 828076 1449133 2691247 2814697 2898266 5382494 5629394 5796532 10764988 11258788 18838729 19702879 36591061 37677458 39405758 73182122 75354916 78811516 146364244 256137427 512274854 678341977 1024549708 1356683954 2417824723 2713367908 4748393839 4835649446 8818445701 9496787678 9671298892 16924773061 17636891402 18993575356 31431721399 33849546122 35273782804 61729119907 62863442798 67699092244 123458239814 125726885596 220022049793 246916479628 440044099586 582695758243 880088199172 1165391516486 2330783032972 4078870307701 7575044857159 8157740615402 15150089714318 16315481230804 30300179428636 53025314000113 106050628000226 212101256000452