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101011220023320 = 233351710853506929
BaseRepresentation
bin10110111101111010000001…
…111000110100100000011000
3111020122120121121012012021000
4112331322001320310200120
5101214431434311221240
6554455525221145000
730163551124415445
oct2675720170644030
9436576547165230
10101011220023320
112a204688389712
12b3b479925b160
134449417ab4329
141ad2d7d4409cc
15ba2801087430
hex5bde81e34818

101011220023320 has 256 divisors, whose sum is σ = 356543740656000. Its totient is φ = 25349449678848.

The previous prime is 101011220023243. The next prime is 101011220023339. The reversal of 101011220023320 is 23320022110101.

101011220023320 is a `hidden beast` number, since 1 + 0 + 10 + 112 + 200 + 23 + 320 = 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 = 101011220023293 and 101011220023302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199007616 + ... + 199514544.

Almost surely, 2101011220023320 is an apocalyptic number.

101011220023320 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 101011220023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178271870328000).

101011220023320 is an abundant number, since it is smaller than the sum of its proper divisors (255532520632680).

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

101011220023320 is a wasteful number, since it uses less digits than its factorization.

101011220023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517819 (or 517809 counting only the distinct ones).

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

Adding to 101011220023320 its reverse (23320022110101), we get a palindrome (124331242133421).

The spelling of 101011220023320 in words is "one hundred one trillion, eleven billion, two hundred twenty million, twenty-three thousand, three hundred twenty".