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202100012120 = 2351031073591277
BaseRepresentation
bin1011110000111000011…
…0010111010001011000
3201022122200211100120002
42330032012113101120
511302400100341440
6232502104352132
720413140521216
oct2741606272130
9638580740502
10202100012120
117878a208406
1233202a75648
131609a4126b6
149ad2d71cb6
1553cc9e0115
hex2f0e197458

202100012120 has 128 divisors (see below), whose sum is σ = 465085670400. Its totient is φ = 79024129536.

The previous prime is 202100012111. The next prime is 202100012129. The reversal of 202100012120 is 21210001202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202100012111) and next prime (202100012129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100012129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158260922 + ... + 158262198.

It is an arithmetic number, because the mean of its divisors is an integer number (3633481800).

Almost surely, 2202100012120 is an apocalyptic number.

202100012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100012120 is an abundant number, since it is smaller than the sum of its proper divisors (262985658280).

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

202100012120 is a wasteful number, since it uses less digits than its factorization.

202100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202100012120 its reverse (21210001202), we get a palindrome (223310013322).

The spelling of 202100012120 in words is "two hundred two billion, one hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 107 206 214 359 412 428 515 535 718 824 856 1030 1070 1277 1436 1795 2060 2140 2554 2872 3590 4120 4280 5108 6385 7180 10216 11021 12770 14360 22042 25540 36977 38413 44084 51080 55105 73954 76826 88168 110210 131531 136639 147908 153652 184885 192065 220420 263062 273278 295816 307304 369770 384130 440840 458443 526124 546556 657655 683195 739540 768260 916886 1052248 1093112 1315310 1366390 1479080 1536520 1833772 2292215 2630620 2732780 3667544 3956539 4584430 5261240 5465560 7913078 9168860 14073817 15826156 18337720 19782695 28147634 31652312 39565390 47219629 49053401 56295268 70369085 79130780 94439258 98106802 112590536 140738170 158261560 188878516 196213604 236098145 245267005 281476340 377757032 392427208 472196290 490534010 562952680 944392580 981068020 1888785160 1962136040 5052500303 10105000606 20210001212 25262501515 40420002424 50525003030 101050006060 202100012120