Search a number
-
+
35130601324 = 22713317939409
BaseRepresentation
bin100000101101111100…
…100110111101101100
310100200022102110021101
4200231330212331230
51033421413220244
624045550412444
72352366120130
oct405574467554
9110608373241
1035130601324
1113998343815
126985201124
13340b2c0080
1419b39c53c0
15da927c0d4
hex82df26f6c

35130601324 has 96 divisors (see below), whose sum is σ = 79097446400. Its totient is φ = 13278919680.

The previous prime is 35130601291. The next prime is 35130601393. The reversal of 35130601324 is 42310603153.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 35130601292 and 35130601301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871732 + ... + 911140.

Almost surely, 235130601324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35130601324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39548723200).

35130601324 is an abundant number, since it is smaller than the sum of its proper divisors (43966845076).

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

35130601324 is a wasteful number, since it uses less digits than its factorization.

35130601324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39543 (or 39541 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 35130601324 in words is "thirty-five billion, one hundred thirty million, six hundred one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 79 91 124 158 182 217 316 364 403 434 553 806 868 1027 1106 1612 2054 2212 2449 2821 4108 4898 5642 7189 9796 11284 14378 17143 28756 31837 34286 39409 63674 68572 78818 127348 157636 222859 275863 445718 512317 551726 891436 1024634 1103452 1221679 2049268 2443358 3113311 3586219 4886716 6226622 7172438 8551753 12453244 14344876 15881827 17103506 21793177 31763654 34207012 40473043 43586354 63527308 80946086 87172708 96512641 111172789 161892172 193025282 222345578 283311301 386050564 444691156 566622602 675588487 1133245204 1254664333 1351176974 2509328666 2702353948 5018657332 8782650331 17565300662 35130601324