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100002230133 = 31367241379419
BaseRepresentation
bin101110100100010011…
…0001110111101110101
3100120010022211122102020
41131020212032331311
53114301032331013
6113535042503353
710140101634231
oct1351046167565
9316108748366
10100002230133
1139457719693
121746a664b59
139579110850
144ba94815c1
15290452a623
hex174898ef75

100002230133 has 64 divisors (see below), whose sum is σ = 147077145600. Its totient is φ = 60066800640.

The previous prime is 100002230093. The next prime is 100002230213. The reversal of 100002230133 is 331032200001.

It is not a de Polignac number, because 100002230133 - 232 = 95707262837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002237133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238668598 + ... + 238669016.

It is an arithmetic number, because the mean of its divisors is an integer number (2298080400).

Almost surely, 2100002230133 is an apocalyptic number.

100002230133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100002230133 is a deficient number, since it is larger than the sum of its proper divisors (47074915467).

100002230133 is a wasteful number, since it uses less digits than its factorization.

100002230133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100002230133 its reverse (331032200001), we get a palindrome (431034430134).

The spelling of 100002230133 in words is "one hundred billion, two million, two hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 13 39 67 201 241 379 419 723 871 1137 1257 2613 3133 4927 5447 9399 14781 16147 16341 25393 28073 48441 76179 84219 91339 100979 158801 209911 274017 302937 330109 364949 476403 629733 990327 1094847 1187407 1312727 2064413 3562221 3938181 6119713 6193239 6765593 10639667 18359139 20296779 31919001 38271041 79556269 87952709 114813123 138315671 238668807 263858127 414947013 497523533 1492570599 2564159747 7692479241 33334076711 100002230133