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202101240 = 233511153107
BaseRepresentation
bin11000000101111…
…01000111111000
3112002021210210010
430002331013320
5403214214430
632015421520
75002555305
oct1402750770
9462253703
10202101240
11a4098720
12578248a0
1332b41843
141cbac0ac
1512b21cb0
hexc0bd1f8

202101240 has 64 divisors (see below), whose sum is σ = 661426560. Its totient is φ = 48993920.

The previous prime is 202101223. The next prime is 202101241. The reversal of 202101240 is 42101202.

202101240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021012402 = 81689822419075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101241) 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, 75234 + ... + 77873.

It is an arithmetic number, because the mean of its divisors is an integer number (10334790).

Almost surely, 2202101240 is an apocalyptic number.

202101240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101240 is an abundant number, since it is smaller than the sum of its proper divisors (459325320).

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

202101240 is a wasteful number, since it uses less digits than its factorization.

202101240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153132 (or 153128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202101240 is about 14216.2315681759. The cubic root of 202101240 is about 586.8444379194.

Adding to 202101240 its reverse (42101202), we get a palindrome (244202442).

The spelling of 202101240 in words is "two hundred two million, one hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 153107 306214 459321 612428 765535 918642 1224856 1531070 1684177 1837284 2296605 3062140 3368354 3674568 4593210 5052531 6124280 6736708 8420885 9186420 10105062 13473416 16841770 18372840 20210124 25262655 33683540 40420248 50525310 67367080 101050620 202101240