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100110200100210 = 232525726316456859
BaseRepresentation
bin10110110000110010111000…
…111010100101010101110010
3111010110102220222020122112200
4112300302320322211111302
5101110201142211201320
6552525554021204030
730041503040425236
oct2660627072452562
9433412828218480
10100110200100210
11299975520a8563
12b28a03b560616
1343b2474c33931
141aa15068025c6
15b89169241290
hex5b0cb8ea5572

100110200100210 has 96 divisors (see below), whose sum is σ = 262292857706880. Its totient is φ = 26491065114624.

The previous prime is 100110200100139. The next prime is 100110200100263. The reversal of 100110200100210 is 12001002011001.

It is a happy number.

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 = 100110200100192 and 100110200100201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2145240 + ... + 14311619.

It is an arithmetic number, because the mean of its divisors is an integer number (2732217267780).

Almost surely, 2100110200100210 is an apocalyptic number.

100110200100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110200100210 is an abundant number, since it is smaller than the sum of its proper divisors (162182657606670).

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

100110200100210 is a wasteful number, since it uses less digits than its factorization.

100110200100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16457392 (or 16457389 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100110200100210 its reverse (12001002011001), we get a palindrome (112111202111211).

The spelling of 100110200100210 in words is "one hundred trillion, one hundred ten billion, two hundred million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 263 514 526 771 789 1285 1315 1542 1578 2313 2367 2570 2630 3855 3945 4626 4734 7710 7890 11565 11835 23130 23670 67591 135182 202773 337955 405546 608319 675910 1013865 1216638 2027730 3041595 6083190 16456859 32913718 49370577 82284295 98741154 148111731 164568590 246852885 296223462 493705770 740558655 1481117310 4229412763 4328153917 8458825526 8656307834 12688238289 12984461751 21147063815 21640769585 25376476578 25968923502 38064714867 38953385253 42294127630 43281539170 63441191445 64922308755 76129429734 77906770506 126882382890 129844617510 190323574335 194766926265 380647148670 389533852530 1112335556669 2224671113338 3337006670007 5561677783345 6674013340014 10011020010021 11123355566690 16685033350035 20022040020042 33370066700070 50055100050105 100110200100210