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1020012133231 = 713311237929209
BaseRepresentation
bin11101101011111010111…
…01011111101101101111
310121111211101210010101201
432311331131133231233
5113202441101230411
62100330451550331
7133456565035540
oct16657535375557
93544741703351
101020012133231
11363648291883
12145827bbb3a7
1375257330cb0
14375241aa4c7
151b7ed5cc3c1
hexed7d75fb6f

1020012133231 has 32 divisors (see below), whose sum is σ = 1296045363200. Its totient is φ = 780919107840.

The previous prime is 1020012133229. The next prime is 1020012133253. The reversal of 1020012133231 is 1323312100201.

It is a cyclic number.

It is not a de Polignac number, because 1020012133231 - 21 = 1020012133229 is a prime.

It is a super-3 number, since 3×10200121332313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1020012133199 and 1020012133208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020012133531) 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, 34906555 + ... + 34935763.

It is an arithmetic number, because the mean of its divisors is an integer number (40501417600).

Almost surely, 21020012133231 is an apocalyptic number.

1020012133231 is a deficient number, since it is larger than the sum of its proper divisors (276033229969).

1020012133231 is a wasteful number, since it uses less digits than its factorization.

1020012133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41639.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1020012133231 its reverse (1323312100201), we get a palindrome (2343324233432).

The spelling of 1020012133231 in words is "one trillion, twenty billion, twelve million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 7 13 31 91 217 403 2821 12379 29209 86653 160927 204463 379717 383749 905479 1126489 2658019 2686243 4988737 6338353 11771227 34921159 82398589 361578211 2531047477 4700516743 11208924541 32903617201 78462471787 145716019033 1020012133231