Search a number
-
+
81302201253 = 3372134727147
BaseRepresentation
bin100101110110111111…
…1010010001110100101
321202212002102202022000
41023231333102032211
52313001330420003
6101203312155513
75605513210500
oct1135577221645
9252762382260
1081302201253
1131530a78169
121390bb38b99
137888b609c0
143d13ab0137
1521ac9961a3
hex12edfd23a5

81302201253 has 48 divisors (see below), whose sum is σ = 150890564160. Its totient is φ = 42884668512.

The previous prime is 81302201209. The next prime is 81302201261. The reversal of 81302201253 is 35210220318.

It is not a de Polignac number, because 81302201253 - 213 = 81302193061 is a prime.

It is a super-2 number, since 2×813022012532 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81302201263) 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, 2346375 + ... + 2380772.

It is an arithmetic number, because the mean of its divisors is an integer number (3143553420).

Almost surely, 281302201253 is an apocalyptic number.

It is an amenable number.

81302201253 is a deficient number, since it is larger than the sum of its proper divisors (69588362907).

81302201253 is a wasteful number, since it uses less digits than its factorization.

81302201253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727183 (or 4727170 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 81302201253 in words is "eighty-one billion, three hundred two million, two hundred one thousand, two hundred fifty-three".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 5733 17199 4727147 14181441 33090029 42544323 61452911 99270087 127632969 184358733 231630203 297810261 430170377 553076199 694890609 893430783 1290511131 1659228597 2084671827 3011192639 3871533393 6254015481 9033577917 11614600179 27100733751 81302201253