Search a number
-
+
1020210120100 = 225247217065983
BaseRepresentation
bin11101101100010010100…
…00110000010110100100
310121112100012022220022201
432312021100300112210
5113203342242320400
62100402243304244
7133464520636663
oct16661120602644
93545305286281
101020210120100
1136373a01a296
1214588237b084
1375289361ba2
14375425c6dda
151b810b8a06a
hexed894305a4

1020210120100 has 36 divisors (see below), whose sum is σ = 2260959289344. Its totient is φ = 399401406880.

The previous prime is 1020210120079. The next prime is 1020210120143. The reversal of 1020210120100 is 10210120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108528292 + ... + 108537691.

It is an arithmetic number, because the mean of its divisors is an integer number (62804424704).

Almost surely, 21020210120100 is an apocalyptic number.

1020210120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020210120100 is an abundant number, since it is smaller than the sum of its proper divisors (1240749169244).

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

1020210120100 is a wasteful number, since it uses less digits than its factorization.

1020210120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217066044 (or 217066037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020210120100 its reverse (10210120201), we get a palindrome (1030420240301).

It can be divided in two parts, 10202101 and 20100, that added together give a palindrome (10222201).

The spelling of 1020210120100 in words is "one trillion, twenty billion, two hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 217065983 434131966 868263932 1085329915 2170659830 4341319660 5426649575 10202101201 10853299150 20404202402 21706598300 40808404804 51010506005 102021012010 204042024020 255052530025 510105060050 1020210120100