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100220010020200 = 23527631113448053
BaseRepresentation
bin10110110010011001001010…
…000110001011110101101000
3111010211221100210222120011101
4112302121022012023311220
5101114001040031121300
6553052234221011144
730052441163355460
oct2662311206136550
9433757323876141
10100220010020200
1129a2a081a20754
12b2a73866b3ab4
1343bc924c3a855
141aa6962666ba0
15b8be447ddb6a
hex5b264a18bd68

100220010020200 has 96 divisors (see below), whose sum is σ = 266720912876160. Its totient is φ = 34306690924800.

The previous prime is 100220010020189. The next prime is 100220010020219. The reversal of 100220010020200 is 2020010022001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 55840627 + ... + 57607426.

It is an arithmetic number, because the mean of its divisors is an integer number (2778342842460).

Almost surely, 2100220010020200 is an apocalyptic number.

100220010020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220010020200 is an abundant number, since it is smaller than the sum of its proper divisors (166500902855960).

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

100220010020200 is a wasteful number, since it uses less digits than its factorization.

100220010020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113448707 (or 113448698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100220010020200 its reverse (2020010022001), we get a palindrome (102240020042201).

It can be divided in two parts, 1002200 and 10020200, that added together give a square (11022400 = 33202).

The spelling of 100220010020200 in words is "one hundred trillion, two hundred twenty billion, ten million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 631 700 1262 1400 2524 3155 4417 5048 6310 8834 12620 15775 17668 22085 25240 31550 35336 44170 63100 88340 110425 126200 176680 220850 441700 883400 113448053 226896106 453792212 567240265 794136371 907584424 1134480530 1588272742 2268961060 2836201325 3176545484 3970681855 4537922120 5672402650 6353090968 7941363710 11344805300 15882727420 19853409275 22689610600 31765454840 39706818550 71585721443 79413637100 143171442886 158827274200 286342885772 357928607215 501100050101 572685771544 715857214430 1002200100202 1431714428860 1789643036075 2004400200404 2505500250505 2863428857720 3579286072150 4008800400808 5011000501010 7158572144300 10022001002020 12527501252525 14317144288600 20044002004040 25055002505050 50110005010100 100220010020200