Search a number
-
+
20121013302 = 23134147263509
BaseRepresentation
bin10010101111010011…
…100100110000110110
31220221021020101021220
4102233103210300312
5312201434411202
613124331051210
71311421535235
oct225723446066
956837211256
1020121013302
118595873115
123a965a0b06
131b88797b40
14d8c3c6b1c
157cb6c1abc
hex4af4e4c36

20121013302 has 128 divisors (see below), whose sum is σ = 45600952320. Its totient is φ = 5877519360.

The previous prime is 20121013279. The next prime is 20121013313. The reversal of 20121013302 is 20331012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39530224 + ... + 39530732.

It is an arithmetic number, because the mean of its divisors is an integer number (356257440).

Almost surely, 220121013302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121013302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22800476160).

20121013302 is an abundant number, since it is smaller than the sum of its proper divisors (25479939018).

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

20121013302 is a wasteful number, since it uses less digits than its factorization.

20121013302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20121013302 its reverse (20331012102), we get a palindrome (40452025404).

The spelling of 20121013302 in words is "twenty billion, one hundred twenty-one million, thirteen thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 41 47 78 82 94 123 141 246 263 282 509 526 533 611 789 1018 1066 1222 1527 1578 1599 1833 1927 3054 3198 3419 3666 3854 5781 6617 6838 10257 10783 11562 12361 13234 19851 20514 20869 21566 23923 24722 25051 32349 37083 39702 41738 47846 50102 62607 64698 71769 74166 75153 125214 133867 140179 143538 150306 160693 267734 271297 280358 310999 321386 401601 420537 482079 506801 542594 621998 803202 813891 841074 932997 964158 980843 1013602 1520403 1627782 1740271 1865994 1961686 2942529 3040806 3480542 5220813 5488547 5885058 6291749 6588413 10441626 10977094 12583498 12750959 13176826 16465641 18875247 19765239 25501918 32931282 37750494 38252877 39530478 71351111 76505754 81792737 142702222 163585474 214053333 245378211 257961709 428106666 490756422 515923418 773885127 1547770254 3353502217 6707004434 10060506651 20121013302