Search a number
-
+
100210212100220 = 22529971917777161
BaseRepresentation
bin10110110010010000000010…
…000110000101100001111100
3111010211000001222110122201012
4112302100002012011201330
5101113321003244201340
6553043534053334352
730051643321413215
oct2662200206054174
9433730058418635
10100210212100220
1129a25a0428a422
12b2a54b13373b8
1343bba23085371
141aa62b32a840c
15b8ba6e54b565
hex5b240218587c

100210212100220 has 48 divisors (see below), whose sum is σ = 217720458446400. Its totient is φ = 38697890757120.

The previous prime is 100210212100213. The next prime is 100210212100241. The reversal of 100210212100220 is 22001212012001.

It is a junction number, because it is equal to n+sod(n) for n = 100210212100195 and 100210212100204.

It is a congruent number.

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, 3251561 + ... + 14525600.

It is an arithmetic number, because the mean of its divisors is an integer number (4535842884300).

Almost surely, 2100210212100220 is an apocalyptic number.

100210212100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210212100220 is an abundant number, since it is smaller than the sum of its proper divisors (117510246346180).

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

100210212100220 is a wasteful number, since it uses less digits than its factorization.

100210212100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17786918 (or 17786916 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100210212100220 its reverse (22001212012001), we get a palindrome (122211424112221).

The spelling of 100210212100220 in words is "one hundred trillion, two hundred ten billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 9719 19438 38876 48595 97190 194380 281851 563702 1127404 1409255 2818510 5637020 17777161 35554322 71108644 88885805 177771610 355543220 515537669 1031075338 2062150676 2577688345 5155376690 10310753380 172776227759 345552455518 691104911036 863881138795 1727762277590 3455524555180 5010510605011 10021021210022 20042042420044 25052553025055 50105106050110 100210212100220