Search a number
-
+
100220441202024 = 233111329201760257
BaseRepresentation
bin10110110010011001100011…
…110011000000110101101000
3111010211222110212022212102120
4112302121203303000311220
5101114002430421431044
6553052345102431240
730052454650350363
oct2662314363006550
9433758425285376
10100220441202024
1129a2a283353a70
12b2a7486b92520
1343bc993379020
141aa69a3a270da
15b8be6c5b1519
hex5b2663cc0d68

100220441202024 has 64 divisors (see below), whose sum is σ = 294353743400640. Its totient is φ = 28033689845760.

The previous prime is 100220441202001. The next prime is 100220441202043. The reversal of 100220441202024 is 420202144022001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100220441201985 and 100220441202003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14600876697 + ... + 14600883560.

It is an arithmetic number, because the mean of its divisors is an integer number (4599277240635).

Almost surely, 2100220441202024 is an apocalyptic number.

It is an amenable number.

100220441202024 is an abundant number, since it is smaller than the sum of its proper divisors (194133302198616).

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

100220441202024 is a wasteful number, since it uses less digits than its factorization.

100220441202024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29201760290 (or 29201760286 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100220441202024 its reverse (420202144022001), we get a palindrome (520422585224025).

The spelling of 100220441202024 in words is "one hundred trillion, two hundred twenty billion, four hundred forty-one million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 29201760257 58403520514 87605280771 116807041028 175210561542 233614082056 321219362827 350421123084 379622883341 642438725654 700842246168 759245766682 963658088481 1138868650023 1284877451308 1518491533364 1927316176962 2277737300046 2569754902616 3036983066728 3854632353924 4175851716751 4555474600092 7709264707848 8351703433502 9110949200184 12527555150253 16703406867004 25055110300506 33406813734008 50110220601012 100220441202024