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202000110212200 = 235229193180453913
BaseRepresentation
bin101101111011011111010000…
…110100000101010001101000
3222111020000120222212021020211
4231323133100310011101220
5202434032211203242300
61553341323004430504
760356012016520126
oct5573372064052150
9874200528767224
10202000110212200
11593aa8470a01a3
121a7a4b84248434
1388936b4601071
1437c4c00da2916
151854746a8c4ba
hexb7b7d0d05468

202000110212200 has 96 divisors (see below), whose sum is σ = 488362427458200. Its totient is φ = 77609618472960.

The previous prime is 202000110212191. The next prime is 202000110212227. The reversal of 202000110212200 is 2212011000202.

It is a happy number.

202000110212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 12031061090724 + 189969049121476 = 3468582^2 + 13782926^2 .

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, 89107557 + ... + 91346356.

Almost surely, 2202000110212200 is an apocalyptic number.

202000110212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000110212200 is an abundant number, since it is smaller than the sum of its proper divisors (286362317246000).

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

202000110212200 is a wasteful number, since it uses less digits than its factorization.

202000110212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180454151 (or 180454142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202000110212200 its reverse (2212011000202), we get a palindrome (204212121212402).

The spelling of 202000110212200 in words is "two hundred two trillion, one hundred ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 193 200 232 290 386 580 725 772 965 1160 1450 1544 1930 2900 3860 4825 5597 5800 7720 9650 11194 19300 22388 27985 38600 44776 55970 111940 139925 223880 279850 559700 1119400 180453913 360907826 721815652 902269565 1443631304 1804539130 3609078260 4511347825 5233163477 7218156520 9022695650 10466326954 18045391300 20932653908 26165817385 34827605209 36090782600 41865307816 52331634770 69655210418 104663269540 130829086925 139310420836 174138026045 209326539080 261658173850 278620841672 348276052090 523316347700 696552104180 870690130225 1010000551061 1046632695400 1393104208360 1741380260450 2020001102122 3482760520900 4040002204244 5050002755305 6965521041800 8080004408488 10100005510610 20200011021220 25250013776525 40400022042440 50500027553050 101000055106100 202000110212200