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1310012102022 = 2313232083350561
BaseRepresentation
bin10011000100000010110…
…011100101010110000110
311122020100222212221012120
4103010002303211112012
5132430401044231042
62441451121430410
7163434215066241
oct23040263452606
94566328787176
101310012102022
11465633752678
12191a8049b406
13966c2461170
144759517c258
1524122dc3dec
hex13102ce5586

1310012102022 has 64 divisors (see below), whose sum is σ = 2945663110656. Its totient is φ = 385369205760.

The previous prime is 1310012101961. The next prime is 1310012102071. The reversal of 1310012102022 is 2202012100131.

It is a super-2 number, since 2×13100121020222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310012101992 and 1310012102010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3561622 + ... + 3912182.

It is an arithmetic number, because the mean of its divisors is an integer number (46025986104).

Almost surely, 21310012102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310012102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472831555328).

1310012102022 is an abundant number, since it is smaller than the sum of its proper divisors (1635651008634).

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

1310012102022 is a wasteful number, since it uses less digits than its factorization.

1310012102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352685.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1310012102022 its reverse (2202012100131), we get a palindrome (3512024202153).

The spelling of 1310012102022 in words is "one trillion, three hundred ten billion, twelve million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 2083 4166 6249 12498 27079 47909 54158 81237 95818 143727 162474 287454 350561 622817 701122 1051683 1245634 1868451 2103366 3736902 4557293 8062903 9114586 13671879 16125806 24188709 27343758 48377418 104817739 209635478 314453217 628906434 730218563 1460437126 2190655689 4381311378 9492841319 16795026949 18985682638 28478523957 33590053898 50385080847 56957047914 100770161694 218335350337 436670700674 655006051011 1310012102022