Search a number
-
+
132153306350010 = 235112767144728791
BaseRepresentation
bin11110000011000101010110…
…111000011000000110111010
3122022220201210010210122011020
4132003011112320120012322
5114310144432411200020
61145022220230043310
736556522061531301
oct3603052670300672
9568821703718136
10132153306350010
11391209a2228930
12129a4242aa9536
13589800739241a
14248c37b58d438
15104292655ec40
hex783156e181ba

132153306350010 has 64 divisors (see below), whose sum is σ = 346126431965184. Its totient is φ = 32025586651200.

The previous prime is 132153306349907. The next prime is 132153306350011. The reversal of 132153306350010 is 10053603351231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (132153306350011) 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, 71451286 + ... + 73277505.

It is an arithmetic number, because the mean of its divisors is an integer number (5408225499456).

Almost surely, 2132153306350010 is an apocalyptic number.

132153306350010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132153306350010 is an abundant number, since it is smaller than the sum of its proper divisors (213973125615174).

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

132153306350010 is a wasteful number, since it uses less digits than its factorization.

132153306350010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144731579.

The product of its (nonzero) digits is 24300, while the sum is 33.

The spelling of 132153306350010 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, three hundred six million, three hundred fifty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2767 5534 8301 13835 16602 27670 30437 41505 60874 83010 91311 152185 182622 304370 456555 913110 144728791 289457582 434186373 723643955 868372746 1447287910 1592016701 2170931865 3184033402 4341863730 4776050103 7960083505 9552100206 15920167010 23880250515 47760501030 400464564697 800929129394 1201393694091 2002322823485 2402787388182 4004645646970 4405110211667 6006968470455 8810220423334 12013936940910 13215330635001 22025551058335 26430661270002 44051102116670 66076653175005 132153306350010