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1020104231120 = 24513980869453
BaseRepresentation
bin11101101100000101111…
…00110100100011010000
310121112001211002011221122
432312002330310203100
5113203133140343440
62100343541541412
7133462063616522
oct16660274644320
93545054064848
101020104231120
11363695276337
12145852a14868
1375270438aa0
1437532501a12
151b8067207b5
hexed82f348d0

1020104231120 has 40 divisors (see below), whose sum is σ = 2554184058216. Its totient is φ = 376653869568.

The previous prime is 1020104231093. The next prime is 1020104231137. The reversal of 1020104231120 is 211324010201.

It can be written as a sum of positive squares in 4 ways, for example, as 68129352256 + 951974878864 = 261016^2 + 975692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10201042311202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490433687 + ... + 490435766.

Almost surely, 21020104231120 is an apocalyptic number.

1020104231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020104231120 is an abundant number, since it is smaller than the sum of its proper divisors (1534079827096).

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

1020104231120 is a wasteful number, since it uses less digits than its factorization.

1020104231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980869479 (or 980869473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1020104231120 its reverse (211324010201), we get a palindrome (1231428241321).

The spelling of 1020104231120 in words is "one trillion, twenty billion, one hundred four million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 980869453 1961738906 3923477812 4904347265 7846955624 9808694530 12751302889 15693911248 19617389060 25502605778 39234778120 51005211556 63756514445 78469556240 102010423112 127513028890 204020846224 255026057780 510052115560 1020104231120