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1000202100100 = 225278771629259
BaseRepresentation
bin11101000111000001011…
…00001101110110000100
310112121200210201011200221
432203200230031312010
5112341403214200400
62043253030114124
7132155640401110
oct16434054156604
93477623634627
101000202100100
11356202012775
12141a197ab944
137341b1099b8
14365a5214740
151b03e387c1a
hexe8e0b0dd84

1000202100100 has 72 divisors (see below), whose sum is σ = 2483331126080. Its totient is φ = 342535201920.

The previous prime is 1000202100097. The next prime is 1000202100127. The reversal of 1000202100100 is 10012020001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200730 + ... + 1428529.

Almost surely, 21000202100100 is an apocalyptic number.

1000202100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202100100 is an abundant number, since it is smaller than the sum of its proper divisors (1483129025980).

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

1000202100100 is a wasteful number, since it uses less digits than its factorization.

1000202100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630157 (or 1630150 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000202100100 its reverse (10012020001), we get a palindrome (1010214120101).

The spelling of 1000202100100 in words is "one trillion, two hundred two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 877 1754 3508 4385 6139 8770 12278 17540 21925 24556 30695 43850 61390 87700 122780 153475 306950 613900 1629259 3258518 6517036 8146295 11404813 16292590 22809626 32585180 40731475 45619252 57024065 81462950 114048130 162925900 228096260 285120325 570240650 1140481300 1428860143 2857720286 5715440572 7144300715 10002021001 14288601430 20004042002 28577202860 35721503575 40008084004 50010105005 71443007150 100020210010 142886014300 200040420020 250050525025 500101050050 1000202100100