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136530035631 = 3211193710119423
BaseRepresentation
bin111111100100111010…
…0110000001110101111
3111001102000100102111100
41333021310300032233
54214103142120011
6142415424254143
712602225104053
oct1771164601657
9431360312440
10136530035631
11529a17115a0
1222563771353
13cb4aa10942
14687284bc63
153841298d56
hex1fc9d303af

136530035631 has 96 divisors (see below), whose sum is σ = 234896762880. Its totient is φ = 75512736000.

The previous prime is 136530035597. The next prime is 136530035647.

136530035631 is a `hidden beast` number, since 1 + 3 + 65 + 30 + 0 + 3 + 563 + 1 = 666.

136530035631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136530035631 - 29 = 136530035119 is a prime.

It is a super-2 number, since 2×1365300356312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136530035671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7019586 + ... + 7039008.

It is an arithmetic number, because the mean of its divisors is an integer number (2446841280).

Almost surely, 2136530035631 is an apocalyptic number.

136530035631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136530035631 is a deficient number, since it is larger than the sum of its proper divisors (98366727249).

136530035631 is a wasteful number, since it uses less digits than its factorization.

136530035631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19597 (or 19594 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 136530035631 in words is "one hundred thirty-six billion, five hundred thirty million, thirty-five thousand, six hundred thirty-one".

Divisors: 1 3 9 11 19 33 37 57 99 101 111 171 209 303 333 407 627 703 909 1111 1221 1881 1919 2109 3333 3663 3737 5757 6327 7733 9999 11211 17271 19423 21109 23199 33633 41107 58269 63327 69597 71003 123321 174807 189981 213009 213653 369037 369963 639027 640959 718651 781033 1107111 1922877 1961723 2155953 2343099 3321333 4059407 5885169 6467859 7029297 7905161 12178221 13654369 17655507 21578953 23715483 36534663 37272737 40963107 64736859 71146449 72583751 111818211 122889321 150198059 194210577 217751253 335454633 410000107 450594177 653253759 798421261 1230000321 1351782531 1379091269 2395263783 3690000963 4137273807 7185791349 12411821421 15170003959 45510011877 136530035631