Search a number
-
+
100121102111220 = 22352372551523269
BaseRepresentation
bin10110110000111101000010…
…101110011101000111110100
3111010111111001202022012011020
4112300331002232131013310
5101110341004120024340
6552534555505141140
730042340150123011
oct2660750256350764
9433444052265136
10100121102111220
11299a1136a98813
12b29018262a7b0
1343b34c176cc18
141aa1c5c686708
15b895a63c69d0
hex5b0f42b9d1f4

100121102111220 has 48 divisors (see below), whose sum is σ = 292527741824640. Its totient is φ = 25538136190336.

The previous prime is 100121102111201. The next prime is 100121102111221. The reversal of 100121102111220 is 22111201121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100121102111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121102111221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36275760255 + ... + 36275763014.

It is an arithmetic number, because the mean of its divisors is an integer number (6094327954680).

Almost surely, 2100121102111220 is an apocalyptic number.

100121102111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121102111220 is an abundant number, since it is smaller than the sum of its proper divisors (192406639713420).

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

100121102111220 is a wasteful number, since it uses less digits than its factorization.

100121102111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72551523304 (or 72551523302 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100121102111220 its reverse (22111201121001), we get a palindrome (122232303232221).

The spelling of 100121102111220 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 72551523269 145103046538 217654569807 290206093076 362757616345 435309139614 725515232690 870618279228 1088272849035 1451030465380 1668685035187 2176545698070 3337370070374 4353091396140 5006055105561 6674740140748 8343425175935 10012110211122 16686850351870 20024220422244 25030275527805 33373700703740 50060551055610 100121102111220