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100200010112020 = 22571379696898109
BaseRepresentation
bin10110110010000110100010…
…000000100101110000010100
3111010210000201222121221212101
4112302012202000211300110
5101113134110042041040
6553035125453331444
730051132442063330
oct2662064200456024
9433700658557771
10100200010112020
1129a21649554715
12b2a3524796b84
1343baa88595960
141aa59c63a67c0
15b8b673a9009a
hex5b21a2025c14

100200010112020 has 96 divisors (see below), whose sum is σ = 262256696755200. Its totient is φ = 31310238196224.

The previous prime is 100200010111997. The next prime is 100200010112063. The reversal of 100200010112020 is 20211010002001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100200010111988 and 100200010112006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348305275 + ... + 348592834.

It is an arithmetic number, because the mean of its divisors is an integer number (2731840591200).

Almost surely, 2100200010112020 is an apocalyptic number.

100200010112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200010112020 is an abundant number, since it is smaller than the sum of its proper divisors (162056686643180).

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

100200010112020 is a wasteful number, since it uses less digits than its factorization.

100200010112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696898217 (or 696898215 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200010112020 its reverse (20211010002001), we get a palindrome (120411020114021).

The spelling of 100200010112020 in words is "one hundred trillion, two hundred billion, ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 79 91 130 140 158 182 260 316 364 395 455 553 790 910 1027 1106 1580 1820 2054 2212 2765 4108 5135 5530 7189 10270 11060 14378 20540 28756 35945 71890 143780 696898109 1393796218 2787592436 3484490545 4878286763 6968981090 9059675417 9756573526 13937962180 18119350834 19513147052 24391433815 36238701668 45298377085 48782867630 55054950611 63417727919 90596754170 97565735260 110109901222 126835455838 181193508340 220219802444 253670911676 275274753055 317088639595 385384654277 550549506110 634177279190 715714357943 770769308554 1101099012220 1268354558380 1431428715886 1541538617108 1926923271385 2862857431772 3578571789715 3853846542770 5010000505601 7157143579430 7707693085540 10020001011202 14314287158860 20040002022404 25050002528005 50100005056010 100200010112020