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202100200120 = 23572137931719
BaseRepresentation
bin1011110000111000011…
…1000101001010111000
3201022122201011220110001
42330032013011022320
511302400122400440
6232502112402344
720413142233300
oct2741607051270
9638581156401
10202100200120
117878a326685
1233202b463b4
131609a47a140
149ad2dc0600
1553cca2ab9a
hex2f0e1c52b8

202100200120 has 96 divisors (see below), whose sum is σ = 569656130400. Its totient is φ = 63961373952.

The previous prime is 202100200091. The next prime is 202100200123. The reversal of 202100200120 is 21002001202.

202100200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 202100200097 and 202100200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100200123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3940380 + ... + 3991339.

It is an arithmetic number, because the mean of its divisors is an integer number (5933918025).

Almost surely, 2202100200120 is an apocalyptic number.

202100200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100200120 is an abundant number, since it is smaller than the sum of its proper divisors (367555930280).

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

202100200120 is a wasteful number, since it uses less digits than its factorization.

202100200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7931757 (or 7931746 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202100200120 its reverse (21002001202), we get a palindrome (223102201322).

The spelling of 202100200120 in words is "two hundred two billion, one hundred million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 7931719 15863438 31726876 39658595 55522033 63453752 79317190 103112347 111044066 158634380 206224694 222088132 277610165 317268760 388654231 412449388 444176264 515561735 555220330 721786429 777308462 824898776 1031123470 1110440660 1443572858 1554616924 1943271155 2062246940 2220881320 2887145716 3109233848 3608932145 3886542310 4124493880 5052505003 5774291432 7217864290 7773084620 10105010006 14435728580 15546169240 20210020012 25262525015 28871457160 40420040024 50525050030 101050100060 202100200120