Search a number
-
+
102022122212020 = 22519252813267557
BaseRepresentation
bin10111001100100111100000…
…010110101000101010110100
3111101020012221010000012002201
4113030213200112220222310
5101333012301241241040
61000552152123314244
730326566203302263
oct2714474026505264
9441205833005081
10102022122212020
112a56438030630a
12b5386a237b984
1344c084c94bcaa
141b29c7b7765da
15bbdc699bba9a
hex5cc9e05a8ab4

102022122212020 has 72 divisors (see below), whose sum is σ = 226121193008424. Its totient is φ = 38660138203392.

The previous prime is 102022122212011. The next prime is 102022122212033. The reversal of 102022122212020 is 20212221220201.

It can be written as a sum of positive squares in 4 ways, for example, as 6795010012176 + 95227112199844 = 2606724^2 + 9758438^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381176082 + ... + 381443638.

It is an arithmetic number, because the mean of its divisors is an integer number (3140572125117).

Almost surely, 2102022122212020 is an apocalyptic number.

102022122212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022122212020 is an abundant number, since it is smaller than the sum of its proper divisors (124099070796404).

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

102022122212020 is a wasteful number, since it uses less digits than its factorization.

102022122212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320417 (or 320396 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102022122212020 its reverse (20212221220201), we get a palindrome (122234343432221).

The spelling of 102022122212020 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 52813 105626 211252 264065 267557 528130 535114 1003447 1056260 1070228 1337785 2006894 2675570 4013788 5017235 5083583 5351140 10034470 10167166 19065493 20068940 20334332 25417915 38130986 50835830 76261972 95327465 96588077 101671660 190654930 193176154 381309860 386352308 482940385 965880770 1931761540 14130487841 28260975682 56521951364 70652439205 141304878410 268479268979 282609756820 536958537958 1073917075916 1342396344895 2684792689790 5101106110601 5369585379580 10202212221202 20404424442404 25505530553005 51011061106010 102022122212020