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202202001012020 = 225191015897893407
BaseRepresentation
bin101101111110011011010010…
…011100010111010100110100
3222111221022201010000112111012
4231332123102130113110310
5203000334144224341040
61554014152241131352
760406420040145062
oct5576332234272464
9874838633015435
10202202001012020
11594784291a3279
121a818129029b58
1388a974a5822a9
1437d08b4235032
151859b11003865
hexb7e6d2717534

202202001012020 has 96 divisors (see below), whose sum is σ = 451475370501120. Its totient is φ = 75852313574400.

The previous prime is 202202001012019. The next prime is 202202001012023. The reversal of 202202001012020 is 20210100202202.

It is a junction number, because it is equal to n+sod(n) for n = 202202001011986 and 202202001012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202001012023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225880157 + ... + 226773563.

It is an arithmetic number, because the mean of its divisors is an integer number (4702868442720).

Almost surely, 2202202001012020 is an apocalyptic number.

202202001012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202202001012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225737685250560).

202202001012020 is an abundant number, since it is smaller than the sum of its proper divisors (249273369489100).

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

202202001012020 is a wasteful number, since it uses less digits than its factorization.

202202001012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899433 (or 899431 counting only the distinct ones).

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

Adding to 202202001012020 its reverse (20210100202202), we get a palindrome (222412101214222).

The spelling of 202202001012020 in words is "two hundred two trillion, two hundred two billion, one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1919 2020 3838 5897 7676 9595 11794 19190 23588 29485 38380 58970 112043 117940 224086 448172 560215 595597 893407 1120430 1191194 1786814 2240860 2382388 2977985 3573628 4467035 5955970 8934070 11316343 11911940 16974733 17868140 22632686 33949466 45265372 56581715 67898932 84873665 90234107 113163430 169747330 180468214 226326860 339494660 360936428 451170535 902341070 1714448033 1804682140 3428896066 5268421079 6857792132 8572240165 10536842158 17144480330 21073684316 26342105395 34288960660 52684210790 100100000501 105368421580 200200001002 400400002004 500500002505 532110528979 1001000005010 1064221057958 2002000010020 2128442115916 2660552644895 5321105289790 10110100050601 10642210579580 20220200101202 40440400202404 50550500253005 101101000506010 202202001012020