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1000012011020 = 2251110145005041
BaseRepresentation
bin11101000110101010101…
…11000101011000001100
310112121012120000122111122
432203111113011120030
5112341011033323040
62043222115540112
7132151141562411
oct16432527053014
93477176018448
101000012011020
11356114789a60
12141985bba638
13733ba912859
1436587c92108
151b02c83a1b5
hexe8d55c560c

1000012011020 has 48 divisors (see below), whose sum is σ = 2313619199136. Its totient is φ = 360040320000.

The previous prime is 1000012010969. The next prime is 1000012011023. The reversal of 1000012011020 is 201102100001.

It is a junction number, because it is equal to n+sod(n) for n = 1000012010989 and 1000012011007.

It is not an unprimeable number, because it can be changed into a prime (1000012011023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22480301 + ... + 22524740.

It is an arithmetic number, because the mean of its divisors is an integer number (48200399982).

Almost surely, 21000012011020 is an apocalyptic number.

1000012011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000012011020 is an abundant number, since it is smaller than the sum of its proper divisors (1313607188116).

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

1000012011020 is a wasteful number, since it uses less digits than its factorization.

1000012011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45005162 (or 45005160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000012011020 its reverse (201102100001), we get a palindrome (1201114111021).

The spelling of 1000012011020 in words is "one trillion, twelve million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 45005041 90010082 180020164 225025205 450050410 495055451 900100820 990110902 1980221804 2475277255 4545509141 4950554510 9091018282 9901109020 18182036564 22727545705 45455091410 50000600551 90910182820 100001201102 200002402204 250003002755 500006005510 1000012011020