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13102220001031 = 727915197722943
BaseRepresentation
bin1011111010101001100100…
…1010110011111100000111
31201101120010020110121102121
42332222121022303330013
53204131321310013111
643511024325550411
72521414140311200
oct276523112637407
951346106417377
1013102220001031
1141a1690686497
12157736ab75407
137406c33b0225
14334217c4c5a7
1517ac4373e871
hexbea992b3f07

13102220001031 has 48 divisors (see below), whose sum is σ = 15553080483840. Its totient is φ = 11003130028800.

The previous prime is 13102220001029. The next prime is 13102220001077. The reversal of 13102220001031 is 13010002220131.

It is not a de Polignac number, because 13102220001031 - 21 = 13102220001029 is a prime.

It is a super-2 number, since 2×131022200010312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13102220000996 and 13102220001014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102220001631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571065546 + ... + 571088488.

It is an arithmetic number, because the mean of its divisors is an integer number (324022510080).

Almost surely, 213102220001031 is an apocalyptic number.

13102220001031 is a deficient number, since it is larger than the sum of its proper divisors (2450860482809).

13102220001031 is a wasteful number, since it uses less digits than its factorization.

13102220001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24164 (or 24157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13102220001031 its reverse (13010002220131), we get a palindrome (26112222221162).

The spelling of 13102220001031 in words is "thirteen trillion, one hundred two billion, two hundred twenty million, one thousand, thirty-one".

Divisors: 1 7 49 79 151 553 977 1057 3871 6839 7399 11929 22943 47873 77183 83503 147527 160601 540281 584521 1032689 1124207 1812497 3464393 3781967 7228823 11654633 12687479 22415311 24250751 81582431 88812353 156907177 169755257 273687047 571077017 1098350239 1770809569 1915809329 3384711961 12395666983 13410665303 23692983727 86769668881 165850886089 267392244919 1871745714433 13102220001031