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1012415151231 = 33119713510613
BaseRepresentation
bin11101011101110001010…
…01010011110001111111
310120210012221201110021000
432232320221103301333
5113041411234314411
62053032550141343
7133100406540141
oct16567051236177
93523187643230
101012415151231
113603a9a60860
12144267951853
1374616448083
1437003250c91
151b50668e956
hexebb8a53c7f

1012415151231 has 32 divisors (see below), whose sum is σ = 1637912067840. Its totient is φ = 612952855200.

The previous prime is 1012415151227. The next prime is 1012415151257. The reversal of 1012415151231 is 1321515142101.

1012415151231 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 415 + 15 + 1 + 231 = 666.

It is not a de Polignac number, because 1012415151231 - 22 = 1012415151227 is a prime.

It is a super-2 number, since 2×10124151512312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1012415151195 and 1012415151204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012415151271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466920 + ... + 2043693.

It is an arithmetic number, because the mean of its divisors is an integer number (51184752120).

Almost surely, 21012415151231 is an apocalyptic number.

1012415151231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012415151231 is a deficient number, since it is larger than the sum of its proper divisors (625496916609).

1012415151231 is a wasteful number, since it uses less digits than its factorization.

1012415151231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511604 (or 3511598 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 1012415151231 in words is "one trillion, twelve billion, four hundred fifteen million, one hundred fifty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 971 2913 8739 10681 26217 32043 96129 288387 3510613 10531839 31595517 38616743 94786551 115850229 347550687 1042652061 3408805223 10226415669 30679247007 37496857453 92037741021 112490572359 337471717077 1012415151231