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1012101122020 = 225411498283689
BaseRepresentation
bin11101011101001011110…
…11011000011111100100
310120202102001211010011111
432232211323120133210
5113040240341401040
62052541451314404
7133056544410112
oct16564573303744
93522361733144
101012101122020
11360258774a8a
1214419a74ba04
1374596377781
1436db3668ab2
151b4d8d0ddea
hexeba5ed87e4

1012101122020 has 48 divisors (see below), whose sum is σ = 2191864374000. Its totient is φ = 392315463680.

The previous prime is 1012101122009. The next prime is 1012101122027. The reversal of 1012101122020 is 202211012101.

It can be written as a sum of positive squares in 8 ways, for example, as 113385745984 + 898715376036 = 336728^2 + 948006^2 .

It is a super-3 number, since 3×10121011220203 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012101122027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4019665 + ... + 4264024.

It is an arithmetic number, because the mean of its divisors is an integer number (45663841125).

Almost surely, 21012101122020 is an apocalyptic number.

1012101122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012101122020 is an abundant number, since it is smaller than the sum of its proper divisors (1179763251980).

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

1012101122020 is a wasteful number, since it uses less digits than its factorization.

1012101122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8283888 (or 8283886 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012101122020 its reverse (202211012101), we get a palindrome (1214312134121).

The spelling of 1012101122020 in words is "one trillion, twelve billion, one hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 149 164 205 298 410 596 745 820 1490 2980 6109 12218 24436 30545 61090 122180 8283689 16567378 33134756 41418445 82836890 165673780 339631249 679262498 1234269661 1358524996 1698156245 2468539322 3396312490 4937078644 6171348305 6792624980 12342696610 24685393220 50605056101 101210112202 202420224404 253025280505 506050561010 1012101122020