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202000101020100 = 223252224444556689
BaseRepresentation
bin101101111011011111010000…
…010001000001000111000100
3222111020000120100120021001200
4231323133100101001013010
5202434032201330120400
61553341322035422500
760356011545424035
oct5573372021010704
9874200510507050
10202000101020100
11593aa841992019
121a7a4b81154a30
1388936b2733156
1437c4bdda8ca8c
151854745d73b00
hexb7b7d04411c4

202000101020100 has 54 divisors (see below), whose sum is σ = 633158094422490. Its totient is φ = 53866693605120.

The previous prime is 202000101020051. The next prime is 202000101020117. The reversal of 202000101020100 is 1020101000202.

It can be written as a sum of positive squares in 3 ways, for example, as 24234038604864 + 177766062415236 = 4922808^2 + 13332894^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112222277445 + ... + 112222279244.

Almost surely, 2202000101020100 is an apocalyptic number.

202000101020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000101020100 is an abundant number, since it is smaller than the sum of its proper divisors (431157993402390).

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

202000101020100 is a wasteful number, since it uses less digits than its factorization.

202000101020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224444556709 (or 224444556699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202000101020100 its reverse (1020101000202), we get a palindrome (203020202020302).

The spelling of 202000101020100 in words is "two hundred two trillion, one hundred one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 224444556689 448889113378 673333670067 897778226756 1122222783445 1346667340134 2020001010201 2244445566890 2693334680268 3366668350335 4040002020402 4488891133780 5611113917225 6733336700670 8080004040804 10100005051005 11222227834450 13466673401340 16833341751675 20200010102010 22444455668900 33666683503350 40400020204020 50500025255025 67333367006700 101000050510050 202000101020100