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130440011213001 = 3788755849125387
BaseRepresentation
bin11101101010001001101110…
…100010000110100011001001
3122002211221110122201212121110
4131222021232202012203021
5114044112120332304001
61141231151445200533
736321660035254320
oct3552115642064311
9562757418655543
10130440011213001
1138620330847106
1212768193a00149
1357a25953a0799
14242d48a20b0b7
15101309d9413d6
hex76a26e8868c9

130440011213001 has 32 divisors (see below), whose sum is σ = 198994969036800. Its totient is φ = 74451189511296.

The previous prime is 130440011212967. The next prime is 130440011213009. The reversal of 130440011213001 is 100312110044031.

It is not a de Polignac number, because 130440011213001 - 27 = 130440011212873 is a prime.

It is a super-3 number, since 3×1304400112130013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (130440011213009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040236630 + ... + 1040362016.

It is an arithmetic number, because the mean of its divisors is an integer number (6218592782400).

Almost surely, 2130440011213001 is an apocalyptic number.

It is an amenable number.

130440011213001 is a deficient number, since it is larger than the sum of its proper divisors (68554957823799).

130440011213001 is a wasteful number, since it uses less digits than its factorization.

130440011213001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182133.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 130440011213001 its reverse (100312110044031), we get a palindrome (230752121257032).

The spelling of 130440011213001 in words is "one hundred thirty trillion, four hundred forty billion, eleven million, two hundred thirteen thousand, one".

Divisors: 1 3 7 21 887 2661 6209 18627 55849 125387 167547 376161 390943 877709 1172829 2633127 49538063 111218269 148614189 333654807 346766441 778527883 1040299323 2335583649 7002738563 21008215689 49019169941 147057509823 6211429105381 18634287316143 43480003737667 130440011213001