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132330130224 = 24319555726111
BaseRepresentation
bin111101100111101111…
…1011000101100110000
3110122120022111010101020
41323033133120230300
54132003003131344
6140442553535440
712363156355635
oct1731737305460
9418508433336
10132330130224
11511369aa496
1221791114580
13c62b869006
146594b3c18c
1536976d7719
hex1ecf7d8b30

132330130224 has 80 divisors (see below), whose sum is σ = 359923630080. Its totient is φ = 41779342080.

The previous prime is 132330130201. The next prime is 132330130279. The reversal of 132330130224 is 422031033231.

It is a super-2 number, since 2×1323301302242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132330130194 and 132330130203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5054929 + ... + 5081039.

It is an arithmetic number, because the mean of its divisors is an integer number (4499045376).

Almost surely, 2132330130224 is an apocalyptic number.

It is an amenable number.

132330130224 is an abundant number, since it is smaller than the sum of its proper divisors (227593499856).

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

132330130224 is a wasteful number, since it uses less digits than its factorization.

132330130224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31698 (or 31692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132330130224 its reverse (422031033231), we get a palindrome (554361163455).

The spelling of 132330130224 in words is "one hundred thirty-two billion, three hundred thirty million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 5557 11114 16671 22228 26111 33342 44456 52222 66684 78333 88912 104444 105583 133368 156666 208888 211166 266736 313332 316749 417776 422332 496109 626664 633498 844664 992218 1253328 1266996 1488327 1689328 1984436 2533992 2976654 3968872 5067984 5953308 7937744 11906616 23813232 145098827 290197654 435296481 580395308 870592962 1160790616 1741185924 2321581232 2756877713 3482371848 5513755426 6964743696 8270633139 11027510852 16541266278 22055021704 33082532556 44110043408 66165065112 132330130224