Search a number
-
+
101011000099938 = 2326364012040621
BaseRepresentation
bin10110111101111001110100…
…110001111000010001100010
3111020122120001021100221002120
4112331321310301320101202
5101214431012011144223
6554455451323325110
730163542514201425
oct2675716461702142
9436576037327076
10101011000099938
112a204585228a55
12b3b4737680796
1344493b1372756
141ad2d5c1539bc
15ba27dbae4be3
hex5bde74c78462

101011000099938 has 16 divisors (see below), whose sum is σ = 202790144690496. Its totient is φ = 33542309284880.

The previous prime is 101011000099937. The next prime is 101011000099957. The reversal of 101011000099938 is 839990000110101.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011000099938.

It is not an unprimeable number, because it can be changed into a prime (101011000099931) 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, 32006018733 + ... + 32006021888.

It is an arithmetic number, because the mean of its divisors is an integer number (12674384043156).

Almost surely, 2101011000099938 is an apocalyptic number.

101011000099938 is an abundant number, since it is smaller than the sum of its proper divisors (101779144590558).

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

101011000099938 is a wasteful number, since it uses less digits than its factorization.

101011000099938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64012040889.

The product of its (nonzero) digits is 17496, while the sum is 42.

The spelling of 101011000099938 in words is "one hundred one trillion, eleven billion, ninety-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 263 526 789 1578 64012040621 128024081242 192036121863 384072243726 16835166683323 33670333366646 50505500049969 101011000099938