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100202020021200 = 24352199419606449
BaseRepresentation
bin10110110010001000011001…
…110011110010001111010000
3111010210012221001121220221010
4112302020121303302033100
5101113202214111134300
6553040101132530520
730051233316036006
oct2662103163621720
9433705831556833
10100202020021200
1129a2249004a189
12b2a39a5920a40
1343bb018acc426
141aa5b372c0a76
15b8b74025da50
hex5b2219cf23d0

100202020021200 has 120 divisors (see below), whose sum is σ = 322593438760000. Its totient is φ = 26586264545280.

The previous prime is 100202020021171. The next prime is 100202020021217. The reversal of 100202020021200 is 2120020202001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 209564425 + ... + 210042024.

Almost surely, 2100202020021200 is an apocalyptic number.

100202020021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202020021200 is an abundant number, since it is smaller than the sum of its proper divisors (222391418738800).

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

100202020021200 is a wasteful number, since it uses less digits than its factorization.

100202020021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419606669 (or 419606658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100202020021200 its reverse (2120020202001), we get a palindrome (102322040223201).

The spelling of 100202020021200 in words is "one hundred trillion, two hundred two billion, twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 199 200 240 300 398 400 597 600 796 995 1194 1200 1592 1990 2388 2985 3184 3980 4776 4975 5970 7960 9552 9950 11940 14925 15920 19900 23880 29850 39800 47760 59700 79600 119400 238800 419606449 839212898 1258819347 1678425796 2098032245 2517638694 3356851592 4196064490 5035277388 6294096735 6713703184 8392128980 10070554776 10490161225 12588193470 16784257960 20141109552 20980322450 25176386940 31470483675 33568515920 41960644900 50352773880 62940967350 83501683351 83921289800 100705547760 125881934700 167003366702 167842579600 250505050053 251763869400 334006733404 417508416755 501010100106 503527738800 668013466808 835016833510 1002020200212 1252525250265 1336026933616 1670033667020 2004040400424 2087542083775 2505050500530 3340067334040 4008080800848 4175084167550 5010101001060 6262626251325 6680134668080 8350168335100 10020202002120 12525252502650 16700336670200 20040404004240 25050505005300 33400673340400 50101010010600 100202020021200