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130321357225408 = 2660165920172549
BaseRepresentation
bin11101101000011011001110…
…001101000011110111000000
3122002102121012110022210000101
4131220123032031003313000
5114040141114422203113
61141100445514332144
736310256502101326
oct3550331615036700
9562377173283011
10130321357225408
1138584a82757038
121274919aa2a054
13579433601177b
142427831961d16
15100ee56c192dd
hex7686ce343dc0

130321357225408 has 112 divisors (see below), whose sum is σ = 259660261476000. Its totient is φ = 64895872204800.

The previous prime is 130321357225369. The next prime is 130321357225439. The reversal of 130321357225408 is 804522753123031.

It is a super-2 number, since 2×1303213572254082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51126462918 + ... + 51126465466.

It is an arithmetic number, because the mean of its divisors is an integer number (2318395191750).

Almost surely, 2130321357225408 is an apocalyptic number.

It is an amenable number.

130321357225408 is a deficient number, since it is larger than the sum of its proper divisors (129338904250592).

130321357225408 is a wasteful number, since it uses less digits than its factorization.

130321357225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 130321357225408 in words is "one hundred thirty trillion, three hundred twenty-one billion, three hundred fifty-seven million, two hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 601 659 1202 1318 2017 2404 2549 2636 4034 4808 5098 5272 8068 9616 10196 10544 16136 19232 20392 21088 32272 38464 40784 42176 64544 81568 129088 163136 396059 792118 1212217 1329203 1531949 1584236 1679791 2424434 2658406 3063898 3168472 3359582 4848868 5141333 5316812 6127796 6336944 6719164 9697736 10282666 10633624 12255592 12673888 13438328 19395472 20565332 21267248 24511184 25347776 26876656 38790944 41130664 42534496 49022368 53753312 77581888 82261328 85068992 98044736 107506624 164522656 329045312 798851003 1009554391 1597702006 2019108782 3089941133 3195404012 3388138447 4038217564 6179882266 6390808024 6776276894 8076435128 12359764532 12781616048 13552553788 16152870256 24719529064 25563232096 27105107576 32305740512 49439058128 51126464192 54210215152 64611481024 98878116256 108420430304 197756232512 216840860608 2036271206647 4072542413294 8145084826588 16290169653176 32580339306352 65160678612704 130321357225408