Search a number
-
+
32130121311132 = 223131093136036941
BaseRepresentation
bin1110100111000111000000…
…11101111010001110011100
311012202121110101202002122220
413103203200131322032130
513202404442023424012
6152200212435305340
76524216233653345
oct723434035721634
9135677411662586
1032130121311132
11a2683429388a9
12372b04874b250
1314c0b1ba40a80
147d116b4830cc
153aaba15ce08c
hex1d38e077a39c

32130121311132 has 96 divisors (see below), whose sum is σ = 81738262858560. Its totient is φ = 9764195051520.

The previous prime is 32130121311131. The next prime is 32130121311137. The reversal of 32130121311132 is 23111312103123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130121311131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2303782 + ... + 8340722.

It is an arithmetic number, because the mean of its divisors is an integer number (851440238110).

Almost surely, 232130121311132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130121311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40869131429280).

32130121311132 is an abundant number, since it is smaller than the sum of its proper divisors (49608141547428).

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

32130121311132 is a wasteful number, since it uses less digits than its factorization.

32130121311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037383 (or 6037381 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 32130121311132 its reverse (23111312103123), we get a palindrome (55241433414255).

The spelling of 32130121311132 in words is "thirty-two trillion, one hundred thirty billion, one hundred twenty-one million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 313 327 436 626 654 939 1252 1308 1417 1878 2834 3756 4069 4251 5668 8138 8502 12207 16276 17004 24414 34117 48828 68234 102351 136468 204702 409404 443521 887042 1330563 1774084 2661126 5322252 6036941 12073882 18110823 24147764 36221646 72443292 78480233 156960466 235440699 313920932 470881398 658026569 941762796 1316053138 1889562533 1974079707 2632106276 3779125066 3948159414 5668687599 7558250132 7896318828 8554345397 11337375198 17108690794 22674750396 24564312929 25663036191 34217381588 49128625858 51326072382 73692938787 98257251716 102652144764 147385877574 205962316097 294771755148 411924632194 617886948291 823849264388 1235773896582 2471547793164 2677510109261 5355020218522 8032530327783 10710040437044 16065060655566 32130121311132