Search a number
-
+
132111032100 = 223523329132283
BaseRepresentation
bin111101100001001101…
…1100101111100100100
3110122000001012210020220
41323002123211330210
54131030411011400
6140405125524340
712354556146615
oct1730233457444
9418001183226
10132111032100
1151034262863
122172b8736b0
13c5c5355c58
1465739c7c0c
1536833597a0
hex1ec26e5f24

132111032100 has 72 divisors (see below), whose sum is σ = 382358964960. Its totient is φ = 35218759680.

The previous prime is 132111032093. The next prime is 132111032117. The reversal of 132111032100 is 1230111231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132111032100.

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, 932559 + ... + 1064841.

It is an arithmetic number, because the mean of its divisors is an integer number (5310541180).

Almost surely, 2132111032100 is an apocalyptic number.

132111032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132111032100 is an abundant number, since it is smaller than the sum of its proper divisors (250247932860).

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

132111032100 is a wasteful number, since it uses less digits than its factorization.

132111032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135629 (or 135622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132111032100 its reverse (1230111231), we get a palindrome (133341143331).

The spelling of 132111032100 in words is "one hundred thirty-two billion, one hundred eleven million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3329 6658 9987 13316 16645 19974 33290 39948 49935 66580 83225 99870 132283 166450 199740 249675 264566 332900 396849 499350 529132 661415 793698 998700 1322830 1587396 1984245 2645660 3307075 3968490 6614150 7936980 9921225 13228300 19842450 39684900 440370107 880740214 1321110321 1761480428 2201850535 2642220642 4403701070 5284441284 6605551605 8807402140 11009252675 13211103210 22018505350 26422206420 33027758025 44037010700 66055516050 132111032100