Search a number
-
+
100002012022220 = 225711831097177669
BaseRepresentation
bin10110101111001110001000…
…011001110100010111001100
3111010002002200011021211220012
4112233032020121310113030
5101101413110034202340
6552404142355212352
730030623040065240
oct2657161031642714
9433062604254805
10100002012022220
1129955684815260
12b2710875a70b8
1343a51c2c3c439
141a9a1a211a420
15b86436259565
hex5af3886745cc

100002012022220 has 192 divisors, whose sum is σ = 267408976665600. Its totient is φ = 30511405347840.

The previous prime is 100002012022219. The next prime is 100002012022223. The reversal of 100002012022220 is 22220210200001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100002012022195 and 100002012022204.

It is not an unprimeable number, because it can be changed into a prime (100002012022223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10343546 + ... + 17521214.

It is an arithmetic number, because the mean of its divisors is an integer number (1392755086800).

Almost surely, 2100002012022220 is an apocalyptic number.

100002012022220 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 100002012022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133704488332800).

100002012022220 is an abundant number, since it is smaller than the sum of its proper divisors (167406964643380).

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

100002012022220 is a wasteful number, since it uses less digits than its factorization.

100002012022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177888 (or 7177886 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100002012022220 its reverse (22220210200001), we get a palindrome (122222222222221).

The spelling of 100002012022220 in words is "one hundred trillion, two billion, twelve million, twenty-two thousand, two hundred twenty".