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100110211100020 = 225111751563519121
BaseRepresentation
bin10110110000110010111001…
…100100100010110101110100
3111010110102221201221111110001
4112300302321210202311310
5101110201203020200040
6552525555053041044
730041503233060532
oct2660627144426564
9433412851844401
10100110211100020
1129997558330910
12b28a043186184
1343b24772b55b4
141aa1508067152
15b8916a1b559a
hex5b0cb9922d74

100110211100020 has 96 divisors (see below), whose sum is σ = 242839357762176. Its totient is φ = 34261587763200.

The previous prime is 100110211099967. The next prime is 100110211100047. The reversal of 100110211100020 is 20001112011001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192586060 + ... + 193105180.

It is an arithmetic number, because the mean of its divisors is an integer number (2529576643356).

Almost surely, 2100110211100020 is an apocalyptic number.

100110211100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110211100020 is an abundant number, since it is smaller than the sum of its proper divisors (142729146662156).

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

100110211100020 is a wasteful number, since it uses less digits than its factorization.

100110211100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570721 (or 570719 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110211100020 its reverse (20001112011001), we get a palindrome (120111323111021).

The spelling of 100110211100020 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 51563 103126 206252 257815 515630 519121 567193 876571 1031260 1038242 1134386 1753142 2076484 2268772 2595605 2835965 3506284 4382855 5191210 5671930 5710331 8765710 8825057 9642281 10382420 11343860 11420662 17531420 17650114 19284562 22841324 28551655 35300228 38569124 44125285 48211405 57103310 88250570 96422810 97075627 114206620 176501140 192845620 194151254 388302508 485378135 970756270 1941512540 26767436123 53534872246 107069744492 133837180615 267674361230 294441797353 455046414091 535348722460 588883594706 910092828182 1177767189412 1472208986765 1820185656364 2275232070455 2944417973530 4550464140910 5005510555001 5888835947060 9100928281820 10011021110002 20022042220004 25027552775005 50055105550010 100110211100020