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1020231220100 = 225229351803869
BaseRepresentation
bin11101101100010101000…
…01001111101110000100
310121112101200000220002012
432312022201033232010
5113203413143020400
62100404315433352
7133465165200011
oct16661241175604
93545350026065
101020231220100
1136374aa21004
12145889455858
137529083bbb1
143754531a708
151b812956d35
hexed8a84fb84

1020231220100 has 36 divisors (see below), whose sum is σ = 2290243193700. Its totient is φ = 394020332160.

The previous prime is 1020231220097. The next prime is 1020231220103. The reversal of 1020231220100 is 10221320201.

It is a happy number.

1020231220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020231220097) and next prime (1020231220103).

It can be written as a sum of positive squares in 6 ways, for example, as 159347865856 + 860883354244 = 399184^2 + 927838^2 .

It is not an unprimeable number, because it can be changed into a prime (1020231220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175899035 + ... + 175904834.

Almost surely, 21020231220100 is an apocalyptic number.

1020231220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020231220100 is an abundant number, since it is smaller than the sum of its proper divisors (1270011973600).

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

1020231220100 is a wasteful number, since it uses less digits than its factorization.

1020231220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351803912 (or 351803905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1020231220100 its reverse (10221320201), we get a palindrome (1030452540301).

The spelling of 1020231220100 in words is "one trillion, twenty billion, two hundred thirty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 351803869 703607738 1407215476 1759019345 3518038690 7036077380 8795096725 10202312201 17590193450 20404624402 35180386900 40809248804 51011561005 102023122010 204046244020 255057805025 510115610050 1020231220100