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100202020110 = 23352341393551
BaseRepresentation
bin101110101010010000…
…0010111110100001110
3100120122020210000202000
41131110200113310032
53120203204120420
6114010541013130
710145046055263
oct1352440276416
9316566700660
10100202020110
113954a478875
12175055541a6
1395ab62337a
144bc7c0b26a
152916d42690
hex1754817d0e

100202020110 has 128 divisors (see below), whose sum is σ = 285624299520. Its totient is φ = 24935328000.

The previous prime is 100202020081. The next prime is 100202020111. The reversal of 100202020110 is 11020202001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100202020092 and 100202020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202020111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57835 + ... + 451385.

It is an arithmetic number, because the mean of its divisors is an integer number (2231439840).

Almost surely, 2100202020110 is an apocalyptic number.

100202020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142812149760).

100202020110 is an abundant number, since it is smaller than the sum of its proper divisors (185422279410).

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

100202020110 is a wasteful number, since it uses less digits than its factorization.

100202020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393631 (or 393625 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100202020110 its reverse (11020202001), we get a palindrome (111222222111).

The spelling of 100202020110 in words is "one hundred billion, two hundred two million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 41 45 46 54 69 82 90 115 123 135 138 205 207 230 246 270 345 369 410 414 615 621 690 738 943 1035 1107 1230 1242 1845 1886 2070 2214 2829 3105 3690 4715 5535 5658 6210 8487 9430 11070 14145 16974 25461 28290 42435 50922 84870 127305 254610 393551 787102 1180653 1967755 2361306 3541959 3935510 5903265 7083918 9051673 10625877 11806530 16135591 17709795 18103346 21251754 27155019 32271182 35419590 45258365 48406773 53129385 54310038 80677955 81465057 90516730 96813546 106258770 135775095 145220319 161355910 162930114 242033865 244395171 271550190 290440638 371118593 407325285 435660957 484067730 488790342 726101595 742237186 814650570 871321914 1113355779 1221975855 1452203190 1855592965 2178304785 2226711558 2443951710 3340067337 3711185930 4356609570 5566778895 6680134674 10020202011 11133557790 16700336685 20040404022 33400673370 50101010055 100202020110