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32121414423100 = 22529715671211313
BaseRepresentation
bin1110100110110110110010…
…11111110001001000111100
311012201202222121012100200101
413103123121133301020330
513202234124043014400
6152152212444410444
76523460410433212
oct723333137611074
9135652877170611
1032121414423100
11a264685046a72
123729418846a24
1314c0061c19312
147d0982d6acb2
153aa84200056a
hex1d36d97f123c

32121414423100 has 72 divisors (see below), whose sum is σ = 70426888828128. Its totient is φ = 12715234713600.

The previous prime is 32121414423097. The next prime is 32121414423127. The reversal of 32121414423100 is 132441412123.

It is a happy number.

It is a super-3 number, since 3×321214144231003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151903044 + ... + 152114356.

It is an arithmetic number, because the mean of its divisors is an integer number (978151233724).

Almost surely, 232121414423100 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 32121414423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35213444414064).

32121414423100 is an abundant number, since it is smaller than the sum of its proper divisors (38305474405028).

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

32121414423100 is a wasteful number, since it uses less digits than its factorization.

32121414423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227095 (or 227088 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 32121414423100 its reverse (132441412123), we get a palindrome (32253855835223).

The spelling of 32121414423100 in words is "thirty-two trillion, one hundred twenty-one billion, four hundred fourteen million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 15671 31342 62684 78355 156710 211313 313420 391775 422626 783550 845252 1056565 1520087 1567100 2113130 3040174 4226260 5282825 6080348 7600435 10565650 15200870 20497361 21131300 30401740 38002175 40994722 76004350 81989444 102486805 152008700 204973610 409947220 512434025 1024868050 2049736100 3311486023 6622972046 13245944092 16557430115 33114860230 66229720460 82787150575 165574301150 321214144231 331148602300 642428288462 1284856576924 1606070721155 3212141442310 6424282884620 8030353605775 16060707211550 32121414423100