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101012332200 = 233521312950299
BaseRepresentation
bin101111000010011001…
…1011101111010101000
3100122201201112010221220
41132010303131322220
53123333124112300
6114223204502040
710204115441223
oct1360463357250
9318651463856
10101012332200
113992591228a
12176b09aa920
1396aa476b90
144c6369c5ba
152963054da0
hex1784cddea8

101012332200 has 96 divisors (see below), whose sum is σ = 337225812000. Its totient is φ = 24864572160.

The previous prime is 101012332177. The next prime is 101012332217. The reversal of 101012332200 is 2233210101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101012332200.

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, 6467350 + ... + 6482949.

It is an arithmetic number, because the mean of its divisors is an integer number (3512768875).

Almost surely, 2101012332200 is an apocalyptic number.

101012332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012332200 is an abundant number, since it is smaller than the sum of its proper divisors (236213479800).

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

101012332200 is a wasteful number, since it uses less digits than its factorization.

101012332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950331 (or 12950322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101012332200 its reverse (2233210101), we get a palindrome (103245542301).

The spelling of 101012332200 in words is "one hundred one billion, twelve million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 12950299 25900598 38850897 51801196 64751495 77701794 103602392 129502990 155403588 168353887 194254485 259005980 310807176 323757475 336707774 388508970 505061661 518011960 647514950 673415548 777017940 841769435 971272425 1010123322 1295029900 1346831096 1554035880 1683538870 1942544850 2020246644 2525308305 2590059800 3367077740 3885089700 4040493288 4208847175 5050616610 6734155480 7770179400 8417694350 10101233220 12626541525 16835388700 20202466440 25253083050 33670777400 50506166100 101012332200