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121413000132 = 223237251363151
BaseRepresentation
bin111000100010011000…
…1110101101111000100
3102121101110222110021200
41301010301311233010
53442123212001012
6131435405542500
711525504321214
oct1610461655704
9377343873250
10121413000132
1147544523026
121b644b74a30
13b5abb68118
145c3ac80244
1532590673dc
hex1c44c75bc4

121413000132 has 72 divisors (see below), whose sum is σ = 316456463232. Its totient is φ = 39220200000.

The previous prime is 121413000131. The next prime is 121413000197. The reversal of 121413000132 is 231000314121.

121413000132 is a `hidden beast` number, since 121 + 413 + 0 + 0 + 0 + 132 = 666.

It is a super-2 number, since 2×1214130001322 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121413000131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152757 + ... + 515907.

It is an arithmetic number, because the mean of its divisors is an integer number (4395228656).

Almost surely, 2121413000132 is an apocalyptic number.

121413000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121413000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158228231616).

121413000132 is an abundant number, since it is smaller than the sum of its proper divisors (195043463100).

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

121413000132 is a wasteful number, since it uses less digits than its factorization.

121413000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363449 (or 363444 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121413000132 its reverse (231000314121), we get a palindrome (352413314253).

The spelling of 121413000132 in words is "one hundred twenty-one billion, four hundred thirteen million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 251 333 444 502 666 753 1004 1332 1506 2259 3012 4518 9036 9287 18574 27861 37148 55722 83583 111444 167166 334332 363151 726302 1089453 1452604 2178906 3268359 4357812 6536718 13073436 13436587 26873174 40309761 53746348 80619522 91150901 120929283 161239044 182301802 241858566 273452703 364603604 483717132 546905406 820358109 1093810812 1640716218 3281432436 3372583337 6745166674 10117750011 13490333348 20235500022 30353250033 40471000044 60706500066 121413000132