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402133120130001 = 31326591434783891
BaseRepresentation
bin101101101101111001110100…
…1110001110001101111010001
31221201211112212120010020110010
41123123303221301301233101
5410202022112223130001
63543133223254225133
7150463105410602601
oct13333635161615721
91851745776106403
10402133120130001
1110714a7757a7447
12391281143551a9
131434ccb520c300
1471434bdb1ac01
153175612d428d6
hex16dbce9c71bd1

402133120130001 has 48 divisors (see below), whose sum is σ = 581523048817920. Its totient is φ = 247070849538240.

The previous prime is 402133120129907. The next prime is 402133120130111. The reversal of 402133120130001 is 100031021331204.

It is not a de Polignac number, because 402133120130001 - 226 = 402133053021137 is a prime.

It is a super-2 number, since 2×4021331201300012 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 402133120130001.

It is not an unprimeable number, because it can be changed into a prime (402133120130501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4793477266 + ... + 4793561156.

It is an arithmetic number, because the mean of its divisors is an integer number (12115063517040).

Almost surely, 2402133120130001 is an apocalyptic number.

It is an amenable number.

402133120130001 is a deficient number, since it is larger than the sum of its proper divisors (179389928687919).

402133120130001 is a wasteful number, since it uses less digits than its factorization.

402133120130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98926 (or 98913 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 402133120130001 its reverse (100031021331204), we get a palindrome (502164141461205).

The spelling of 402133120130001 in words is "four hundred two trillion, one hundred thirty-three billion, one hundred twenty million, one hundred thirty thousand, one".

Divisors: 1 3 13 39 169 507 659 1977 8567 14347 25701 43041 83891 111371 186511 251673 334113 559533 1090583 2424643 3271749 7273929 9454673 14177579 28364019 42532737 55284169 122910749 165852507 368732247 718694197 1203584177 1597839737 2156082591 3610752531 4793519211 9343024561 15646594301 28029073683 46939782903 203405725913 610217177739 793161972643 2379485917929 10311105644359 30933316933077 134044373376667 402133120130001