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1313122030002 = 23223157154313093
BaseRepresentation
bin10011000110111100001…
…011000001000110110010
311122112101201202122101100
4103012330023001012302
5133003233214430002
62443123454145230
7163604250043536
oct23067413010662
94575351678340
101313122030002
1146698a175592
121925a9ab2216
1396a99854033
14477ac1dbbc6
1524255e2e11c
hex131bc2c11b2

1313122030002 has 96 divisors (see below), whose sum is σ = 2989871808768. Its totient is φ = 415708495488.

The previous prime is 1313122029977. The next prime is 1313122030039. The reversal of 1313122030002 is 2000302213131.

1313122030002 is a `hidden beast` number, since 1 + 31 + 312 + 20 + 300 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100285368 + ... + 100298460.

It is an arithmetic number, because the mean of its divisors is an integer number (31144498008).

Almost surely, 21313122030002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313122030002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494935904384).

1313122030002 is an abundant number, since it is smaller than the sum of its proper divisors (1676749778766).

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

1313122030002 is a wasteful number, since it uses less digits than its factorization.

1313122030002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14824 (or 14821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1313122030002 its reverse (2000302213131), we get a palindrome (3313424243133).

The spelling of 1313122030002 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, thirty thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 157 207 314 414 471 942 1413 1543 2826 3086 3611 4629 7222 9258 10833 13093 13887 21666 26186 27774 32499 35489 39279 64998 70978 78558 106467 117837 212934 235674 242251 301139 319401 484502 602278 638802 726753 903417 1453506 1806834 2055601 2180259 2710251 4111202 4360518 5420502 5571773 6166803 11143546 12333606 16715319 18500409 20202499 33430638 37000818 40404998 47278823 50145957 60607497 94557646 100291914 121214994 141836469 181822491 283672938 363644982 425509407 464657477 851018814 929314954 1393972431 2787944862 3171792343 4181917293 6343584686 8363834586 9515377029 19030754058 28546131087 57092262174 72951223889 145902447778 218853671667 437707343334 656561015001 1313122030002