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1013213100231 = 322113374873251
BaseRepresentation
bin11101011111010000011…
…01001111100011000111
310120212021120012110111200
432233220031033203013
5113100030023201411
62053244053033543
7133126236152103
oct16575015174307
93525246173450
101013213100231
11360779420742
1214444b0258b3
1374712860547
143707b204903
151b55175de56
hexebe834f8c7

1013213100231 has 48 divisors (see below), whose sum is σ = 1478312579328. Its totient is φ = 668697120000.

The previous prime is 1013213100223. The next prime is 1013213100253. The reversal of 1013213100231 is 1320013123101.

1013213100231 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 310 + 0 + 2 + 31 = 666.

It is not a de Polignac number, because 1013213100231 - 23 = 1013213100223 is a prime.

It is a super-2 number, since 2×10132131002312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013213140231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311660356 + ... + 311663606.

It is an arithmetic number, because the mean of its divisors is an integer number (30798178736).

Almost surely, 21013213100231 is an apocalyptic number.

1013213100231 is a deficient number, since it is larger than the sum of its proper divisors (465099479097).

1013213100231 is a wasteful number, since it uses less digits than its factorization.

1013213100231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013213100231 its reverse (1320013123101), we get a palindrome (2333226223332).

The spelling of 1013213100231 in words is "one trillion, thirteen billion, two hundred thirteen million, one hundred thousand, two hundred thirty-one".

Divisors: 1 3 9 211 337 487 633 1011 1461 1899 3033 3251 4383 9753 29259 71107 102757 164119 213321 308271 492357 639963 685961 924813 1095587 1477071 1583237 2057883 3286761 4749711 6173649 9860283 14249133 34629109 103887327 231168857 311661981 334063007 533550869 693506571 1002189021 1600652607 2080519713 3006567063 4801957821 112579233359 337737700077 1013213100231