Search a number
-
+
102022010202020 = 225107295991610657
BaseRepresentation
bin10111001100100111011001…
…101011010110011110100100
3111101020012122022020111021012
4113030213121223112132210
5101333012034102431040
61000552133042441352
730326563343236436
oct2714473153263644
9441205568214235
10102022010202020
112a564323061567
12b538670963258
1344c0832691a9c
141b29c6a93a656
15bbdc5ec43865
hex5cc9d9ad67a4

102022010202020 has 48 divisors (see below), whose sum is σ = 216255962764800. Its totient is φ = 40426022452224.

The previous prime is 102022010201983. The next prime is 102022010202037. The reversal of 102022010202020 is 20202010220201.

It is a super-2 number, since 2×1020220102020202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022010201986 and 102022010202004.

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, 62536532 + ... + 64147188.

It is an arithmetic number, because the mean of its divisors is an integer number (4505332557600).

Almost surely, 2102022010202020 is an apocalyptic number.

102022010202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022010202020 is an abundant number, since it is smaller than the sum of its proper divisors (114233952562780).

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

102022010202020 is a wasteful number, since it uses less digits than its factorization.

102022010202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640372 (or 1640370 counting only the distinct ones).

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

Adding to 102022010202020 its reverse (20202010220201), we get a palindrome (122224020422221).

The spelling of 102022010202020 in words is "one hundred two trillion, twenty-two billion, ten million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 29599 59198 118396 147995 295990 591980 1610657 3167093 3221314 6334186 6442628 8053285 12668372 15835465 16106570 31670930 32213140 63341860 172340299 344680598 689361196 861701495 1723402990 3446805980 47673836543 95347673086 190695346172 238369182715 476738365430 953476730860 5101100510101 10202201020202 20404402040404 25505502550505 51011005101010 102022010202020