Search a number
-
+
102133130111300 = 22527126141550283
BaseRepresentation
bin10111001110001110111000…
…111100001010100101000100
3111101121211110102221202100202
4113032032320330022211010
5101341322122302030200
61001115151240030032
730340606114003511
oct2716167074124504
9441554412852322
10102133130111300
112a5a7465385032
12b556102762318
1344cb160bc06b2
141b313ac762308
15bc1ab53061d5
hex5ce3b8f0a944

102133130111300 has 72 divisors (see below), whose sum is σ = 224759432100672. Its totient is φ = 40276240144000.

The previous prime is 102133130111293. The next prime is 102133130111321. The reversal of 102133130111300 is 3111031331201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 185325959 + ... + 185876241.

It is an arithmetic number, because the mean of its divisors is an integer number (3121658779176).

Almost surely, 2102133130111300 is an apocalyptic number.

102133130111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133130111300 is an abundant number, since it is smaller than the sum of its proper divisors (122626301989372).

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

102133130111300 is a wasteful number, since it uses less digits than its factorization.

102133130111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576509 (or 576502 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 102133130111300 its reverse (3111031331201), we get a palindrome (105244161442501).

The spelling of 102133130111300 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirty million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 26141 52282 104564 130705 261410 522820 550283 653525 1100566 1307050 1856011 2201132 2614100 2751415 3712022 5502830 7424044 9280055 11005660 13757075 18560110 27514150 37120220 39070093 46400275 55028300 78140186 92800550 156280372 185601100 195350465 390700930 781401860 976752325 1953504650 3907009300 14384947903 28769895806 57539791612 71924739515 143849479030 287698958060 359623697575 719247395150 1021331301113 1438494790300 2042662602226 4085325204452 5106656505565 10213313011130 20426626022260 25533282527825 51066565055650 102133130111300