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102101232220 = 225137272743
BaseRepresentation
bin101111100010110110…
…1010010101001011100
3100202112121110222222021
41133011231102221130
53133100403412340
6114523223425524
710243110103651
oct1370555225134
9322477428867
10102101232220
113a334535a59
12179555b52a4
139821c3c410
144d2814bc28
1529c8946e4a
hex17c5b52a5c

102101232220 has 72 divisors (see below), whose sum is σ = 231535118304. Its totient is φ = 37596392064.

The previous prime is 102101232217. The next prime is 102101232227. The reversal of 102101232220 is 22232101201.

It is a happy number.

It is a super-2 number, since 2×1021012322202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101232194 and 102101232203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101232227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137417169 + ... + 137417911.

It is an arithmetic number, because the mean of its divisors is an integer number (3215765532).

Almost surely, 2102101232220 is an apocalyptic number.

102101232220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101232220 is an abundant number, since it is smaller than the sum of its proper divisors (129433886084).

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

102101232220 is an equidigital number, since it uses as much as digits as its factorization.

102101232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102101232220 its reverse (22232101201), we get a palindrome (124333333421).

The spelling of 102101232220 in words is "one hundred two billion, one hundred one million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 727 743 1454 1486 2908 2972 3635 3715 7270 7430 9451 9659 14540 14860 18902 19318 37804 38636 47255 48295 94510 96590 189020 193180 528529 540161 1057058 1080322 2114116 2160644 2642645 2700805 5285290 5401610 6870877 7022093 10570580 10803220 13741754 14044186 27483508 28088372 34354385 35110465 68708770 70220930 137417540 140441860 392697047 785394094 1570788188 1963485235 3926970470 5105061611 7853940940 10210123222 20420246444 25525308055 51050616110 102101232220