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100212002202032 = 24714958741102229
BaseRepresentation
bin10110110010010001101100…
…110010110010000110110000
3111010211011200201212020202022
4112302101230302302012300
5101113333140030431112
6553044431441411012
730052035556134020
oct2662215462620660
9433734621766668
10100212002202032
1129a267427a3406
12b2a5910939a68
1343bbc49bbacc6
141aa6402d25a80
15b8bb2679bd72
hex5b246ccb21b0

100212002202032 has 80 divisors (see below), whose sum is σ = 223393241352000. Its totient is φ = 42658615802880.

The previous prime is 100212002202029. The next prime is 100212002202061. The reversal of 100212002202032 is 230202200212001.

100212002202032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100212002202032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980218694 + ... + 980320922.

It is an arithmetic number, because the mean of its divisors is an integer number (2792415516900).

Almost surely, 2100212002202032 is an apocalyptic number.

It is an amenable number.

100212002202032 is an abundant number, since it is smaller than the sum of its proper divisors (123181239149968).

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

100212002202032 is a wasteful number, since it uses less digits than its factorization.

100212002202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161134 (or 161128 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 100212002202032 its reverse (230202200212001), we get a palindrome (330414202414033).

The spelling of 100212002202032 in words is "one hundred trillion, two hundred twelve billion, two million, two hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 1043 1192 2086 2384 4172 8344 16688 58741 102229 117482 204458 234964 408916 411187 469928 715603 817832 822374 939856 1431206 1635664 1644748 2862412 3289496 5724824 6578992 8752409 11449648 15232121 17504818 30464242 35009636 60928484 61266863 70019272 106624847 121856968 122533726 140038544 213249694 243713936 245067452 426499388 490134904 852998776 980269808 1705997552 6005033689 12010067378 24020134756 42035235823 48040269512 84070471646 96080539024 168140943292 336281886584 672563773168 894750019661 1789500039322 3579000078644 6263250137627 7158000157288 12526500275254 14316000314576 25053000550508 50106001101016 100212002202032