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101120331120 = 2435421334713
BaseRepresentation
bin101111000101100111…
…1011100110101110000
3100200000020202001121220
41132023033130311300
53124043301043440
6114242023345040
710206566426664
oct1361317346560
9320006661556
10101120331120
1139980877496
1217720bb2180
1396c695b473
144c73b728a4
15296c7898d0
hex178b3dcd70

101120331120 has 40 divisors (see below), whose sum is σ = 313473027216. Its totient is φ = 26965421568.

The previous prime is 101120331079. The next prime is 101120331127. The reversal of 101120331120 is 21133021101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 101120331120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120331127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210667117 + ... + 210667596.

Almost surely, 2101120331120 is an apocalyptic number.

101120331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120331120 is an abundant number, since it is smaller than the sum of its proper divisors (212352696096).

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

101120331120 is a wasteful number, since it uses less digits than its factorization.

101120331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421334729 (or 421334723 counting only the distinct ones).

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

Adding to 101120331120 its reverse (21133021101), we get a palindrome (122253352221).

The spelling of 101120331120 in words is "one hundred one billion, one hundred twenty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421334713 842669426 1264004139 1685338852 2106673565 2528008278 3370677704 4213347130 5056016556 6320020695 6741355408 8426694260 10112033112 12640041390 16853388520 20224066224 25280082780 33706777040 50560165560 101120331120