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100210221212100 = 223521006933174503
BaseRepresentation
bin10110110010010000000010…
…101000110110000111000100
3111010211000002121121120212020
4112302100002220312013010
5101113321013112241400
6553043535020523140
730051643462023366
oct2662200250660704
9433730077546766
10100210221212100
1129a25a094432aa
12b2a54b43b04b0
1343bba24c258cc
141aa62b459ad36
15b8ba7024b2a0
hex5b2402a361c4

100210221212100 has 72 divisors (see below), whose sum is σ = 289970377583040. Its totient is φ = 26720070890880.

The previous prime is 100210221212081. The next prime is 100210221212149. The reversal of 100210221212100 is 1212122012001.

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 100210221212100.

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, 13566552 + ... + 19607951.

It is an arithmetic number, because the mean of its divisors is an integer number (4027366355320).

Almost surely, 2100210221212100 is an apocalyptic number.

100210221212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210221212100 is an abundant number, since it is smaller than the sum of its proper divisors (189760156370940).

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

100210221212100 is a wasteful number, since it uses less digits than its factorization.

100210221212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33184589 (or 33184582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100210221212100 its reverse (1212122012001), we get a palindrome (101422343224101).

The spelling of 100210221212100 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 10069 20138 30207 40276 50345 60414 100690 120828 151035 201380 251725 302070 503450 604140 755175 1006900 1510350 3020700 33174503 66349006 99523509 132698012 165872515 199047018 331745030 398094036 497617545 663490060 829362575 995235090 1658725150 1990470180 2488087725 3317450300 4976175450 9952350900 334034070707 668068141414 1002102212121 1336136282828 1670170353535 2004204424242 3340340707070 4008408848484 5010511060605 6680681414140 8350851767675 10021022121210 16701703535350 20042044242420 25052555303025 33403407070700 50105110606050 100210221212100