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1012101001000 = 23531759535353
BaseRepresentation
bin11101011101001011110…
…10111010111100101000
310120202102001120222011021
432232211322322330220
5113040240324013000
62052541444542224
7133056543364225
oct16564572727450
93522361528137
101012101001000
113602586a2071
1214419a6b1974
137459633466b
1436db363694c
151b4d8cd811a
hexeba5ebaf28

1012101001000 has 64 divisors (see below), whose sum is σ = 2507629110480. Its totient is φ = 381026252800.

The previous prime is 1012101000973. The next prime is 1012101001007. The reversal of 1012101001000 is 1001012101.

It can be written as a sum of positive squares in 8 ways, for example, as 293176765764 + 718924235236 = 541458^2 + 847894^2 .

It is not an unprimeable number, because it can be changed into a prime (1012101001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29750677 + ... + 29784676.

Almost surely, 21012101001000 is an apocalyptic number.

1012101001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012101001000 is an abundant number, since it is smaller than the sum of its proper divisors (1495528109480).

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

1012101001000 is a wasteful number, since it uses less digits than its factorization.

1012101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59535391 (or 59535377 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1012101001000 its reverse (1001012101), we get a palindrome (1013102013101).

The spelling of 1012101001000 in words is "one trillion, twelve billion, one hundred one million, one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 59535353 119070706 238141412 297676765 476282824 595353530 1012101001 1190707060 1488383825 2024202002 2381414120 2976767650 4048404004 5060505005 5953535300 7441919125 8096808008 10121010010 11907070600 14883838250 20242020020 25302525025 29767676500 40484040040 50605050050 59535353000 101210100100 126512625125 202420200200 253025250250 506050500500 1012101001000