Search a number
-
+
202103134043112 = 23332281410198447
BaseRepresentation
bin101101111100111111001101…
…100000110011101111101000
3222111120212111220101010201000
4231330333031200303233220
5202442224204303334422
61553500521550555000
760366320031604161
oct5574771540635750
9874525456333630
10202103134043112
115943a504393205
121a800b36808a60
1388a032271a063
1437c9bb5870768
1518572764c6cac
hexb7cfcd833be8

202103134043112 has 64 divisors (see below), whose sum is σ = 561643715001600. Its totient is φ = 67338176895360.

The previous prime is 202103134043101. The next prime is 202103134043117. The reversal of 202103134043112 is 211340431301202.

202103134043112 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 0 + 3 + 1 + 340 + 4 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (202103134043117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204606528 + ... + 205591919.

It is an arithmetic number, because the mean of its divisors is an integer number (8775683046900).

Almost surely, 2202103134043112 is an apocalyptic number.

It is an amenable number.

202103134043112 is an abundant number, since it is smaller than the sum of its proper divisors (359540580958488).

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

202103134043112 is a wasteful number, since it uses less digits than its factorization.

202103134043112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410200743 (or 410200733 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 202103134043112 its reverse (211340431301202), we get a palindrome (413443565344314).

The spelling of 202103134043112 in words is "two hundred two trillion, one hundred three billion, one hundred thirty-four million, forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2281 4562 6843 9124 13686 18248 20529 27372 41058 54744 61587 82116 123174 164232 246348 492696 410198447 820396894 1230595341 1640793788 2461190682 3281587576 3691786023 4922381364 7383572046 9844762728 11075358069 14767144092 22150716138 29534288184 44301432276 88602864552 935662657607 1871325315214 2806987972821 3742650630428 5613975945642 7485301260856 8420963918463 11227951891284 16841927836926 22455903782568 25262891755389 33683855673852 50525783510778 67367711347704 101051567021556 202103134043112