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202101001120 = 2551263131257
BaseRepresentation
bin1011110000111000101…
…0001000101110100000
3201022122202200121012201
42330032022020232200
511302400324013440
6232502141502544
720413152110464
oct2741612105640
9638582617181
10202101001120
117878a823467
1233203271a54
131609a69a8c5
149ad314c4a4
1553ccb3819a
hex2f0e288ba0

202101001120 has 24 divisors (see below), whose sum is σ = 477463615524. Its totient is φ = 80840400384.

The previous prime is 202101001057. The next prime is 202101001129. The reversal of 202101001120 is 21100101202.

It can be written as a sum of positive squares in 2 ways, for example, as 201281438736 + 819562384 = 448644^2 + 28628^2 .

It is a super-3 number, since 3×2021010011203 (a number of 35 digits) contains 333 as substring.

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 = 202101001097 and 202101001106.

It is not an unprimeable number, because it can be changed into a prime (202101001129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631565469 + ... + 631565788.

Almost surely, 2202101001120 is an apocalyptic number.

202101001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101001120 is an abundant number, since it is smaller than the sum of its proper divisors (275362614404).

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

202101001120 is a wasteful number, since it uses less digits than its factorization.

202101001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263131272 (or 1263131264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202101001120 its reverse (21100101202), we get a palindrome (223201102322).

The spelling of 202101001120 in words is "two hundred two billion, one hundred one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1263131257 2526262514 5052525028 6315656285 10105050056 12631312570 20210100112 25262625140 40420200224 50525250280 101050500560 202101001120