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201000100020 = 223522315022429
BaseRepresentation
bin1011101100110010001…
…0100010000010110100
3201012211001011000210220
42323030202202002310
511243122011200040
6232201013414340
720343653442336
oct2731442420264
9635731130726
10201000100020
1178275353145
1232b5663a3b0
1315c53592a35
149a2ac57456
1553661752d0
hex2ecc8a20b4

201000100020 has 48 divisors (see below), whose sum is σ = 565324085760. Its totient is φ = 53359664256.

The previous prime is 201000100003. The next prime is 201000100039. The reversal of 201000100020 is 20001000102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 201000099981 and 201000100008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7497835 + ... + 7524594.

It is an arithmetic number, because the mean of its divisors is an integer number (11777585120).

Almost surely, 2201000100020 is an apocalyptic number.

201000100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000100020 is an abundant number, since it is smaller than the sum of its proper divisors (364323985740).

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

201000100020 is a wasteful number, since it uses less digits than its factorization.

201000100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022664 (or 15022662 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 201000100020 its reverse (20001000102), we get a palindrome (221001100122).

The spelling of 201000100020 in words is "two hundred one billion, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 223 446 669 892 1115 1338 2230 2676 3345 4460 6690 13380 15022429 30044858 45067287 60089716 75112145 90134574 150224290 180269148 225336435 300448580 450672870 901345740 3350001667 6700003334 10050005001 13400006668 16750008335 20100010002 33500016670 40200020004 50250025005 67000033340 100500050010 201000100020