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11330310432 = 253719887399
BaseRepresentation
bin10101000110101011…
…01101000100100000
31002020121222101222010
422203111231010200
5141201024413212
65112143512520
7550530023010
oct124325550440
932217871863
1011330310432
114894734a21
1222425b8740
1310b74a87cc
14796ad3c40
15464a8903c
hex2a356d120

11330310432 has 96 divisors (see below), whose sum is σ = 35779968000. Its totient is φ = 3066847488.

The previous prime is 11330310403. The next prime is 11330310457. The reversal of 11330310432 is 23401303311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11330310399 and 11330310408.

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, 430932 + ... + 456467.

It is an arithmetic number, because the mean of its divisors is an integer number (372708000).

Almost surely, 211330310432 is an apocalyptic number.

11330310432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11330310432 is an abundant number, since it is smaller than the sum of its proper divisors (24449657568).

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

11330310432 is a wasteful number, since it uses less digits than its factorization.

11330310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887438 (or 887430 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11330310432 its reverse (23401303311), we get a palindrome (34731613743).

The spelling of 11330310432 in words is "eleven billion, three hundred thirty million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 887399 1774798 2662197 3549596 5324394 6211793 7099192 10648788 12423586 14198384 16860581 18635379 21297576 24847172 28396768 33721162 37270758 42595152 49694344 50581743 67442324 74541516 85190304 99388688 101163486 118024067 134884648 149083032 198777376 202326972 236048134 269769296 298166064 354072201 404653944 472096268 539538592 596332128 708144402 809307888 944192536 1416288804 1618615776 1888385072 2832577608 3776770144 5665155216 11330310432