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101121043320 = 233251147543311
BaseRepresentation
bin101111000101101001…
…0001010101101111000
3100200000022002020120200
41132023102022231320
53124043441341240
6114242050522200
710206605454243
oct1361322125570
9320008066520
10101121043320
1139981213590
1217721296360
1396c6b4a69b
144c73cba25a
15296c87a930
hex178b48ab78

101121043320 has 192 divisors, whose sum is σ = 366148823040. Its totient is φ = 23992569600.

The previous prime is 101121043319. The next prime is 101121043381. The reversal of 101121043320 is 23340121101.

101121043320 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 210 + 433 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101121043293 and 101121043302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85536 + ... + 457775.

It is an arithmetic number, because the mean of its divisors is an integer number (1907025120).

Almost surely, 2101121043320 is an apocalyptic number.

101121043320 is a gapful number since it is divisible by the number (10) 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 101121043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183074411520).

101121043320 is an abundant number, since it is smaller than the sum of its proper divisors (265027779720).

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

101121043320 is a wasteful number, since it uses less digits than its factorization.

101121043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543386 (or 543379 counting only the distinct ones).

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

Adding to 101121043320 its reverse (23340121101), we get a palindrome (124461164421).

The spelling of 101121043320 in words is "one hundred one billion, one hundred twenty-one million, forty-three thousand, three hundred twenty".