Search a number
-
+
3220313100102 = 2327149379452587
BaseRepresentation
bin101110110111001001100…
…111100100111101000110
3102101212012011020100210100
4232313021213210331012
5410230200123200402
610503220313504530
7451442234465220
oct56671147447506
912355164210710
103220313100102
1110317aa87870a
12440150412146
131a489c360427
14b1c14ac3410
1558b7b17e71c
hex2edc99e4f46

3220313100102 has 96 divisors (see below), whose sum is σ = 8048824992000. Its totient is φ = 911500962624.

The previous prime is 3220313100089. The next prime is 3220313100133. The reversal of 3220313100102 is 2010013130223.

3220313100102 is a `hidden beast` number, since 3 + 220 + 31 + 310 + 0 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6889053 + ... + 7341639.

It is an arithmetic number, because the mean of its divisors is an integer number (83841927000).

Almost surely, 23220313100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220313100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024412496000).

3220313100102 is an abundant number, since it is smaller than the sum of its proper divisors (4828511891898).

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

3220313100102 is a wasteful number, since it uses less digits than its factorization.

3220313100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453130 (or 453127 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3220313100102 its reverse (2010013130223), we get a palindrome (5230326230325).

The spelling of 3220313100102 in words is "three trillion, two hundred twenty billion, three hundred thirteen million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 379 447 758 894 1043 1137 1341 2086 2274 2653 2682 3129 3411 5306 6258 6822 7959 9387 15918 18774 23877 47754 56471 112942 169413 338826 395297 452587 508239 790594 905174 1016478 1185891 1357761 2371782 2715522 3168109 3557673 4073283 6336218 7115346 8146566 9504327 19008654 28512981 57025962 67435463 134870926 171530473 202306389 343060946 404612778 472048241 514591419 606919167 944096482 1029182838 1200713311 1213838334 1416144723 1543774257 2401426622 2832289446 3087548514 3602139933 4248434169 7204279866 8496868338 10806419799 21612839598 25558040477 51116080954 76674121431 153348242862 178906283339 230022364293 357812566678 460044728586 536718850017 1073437700034 1610156550051 3220313100102