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202211201001020 = 225411014160958679
BaseRepresentation
bin101101111110100011110110…
…110011100010011000111100
3222111222012110021102101211112
4231332203312303202120330
5203001012014424013040
61554022313204541152
760410164031566331
oct5576436663423074
9874865407371745
10202211201001020
115948131a36a172
121a819a760b17b8
1388aa5855b4873
1437d1108028988
151859e9da36365
hexb7e8f6ce263c

202211201001020 has 96 divisors (see below), whose sum is σ = 439325663414400. Its totient is φ = 78127175168000.

The previous prime is 202211201000983. The next prime is 202211201001077. The reversal of 202211201001020 is 20100102112202.

It is a junction number, because it is equal to n+sod(n) for n = 202211201000986 and 202211201001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3446028041 + ... + 3446086719.

It is an arithmetic number, because the mean of its divisors is an integer number (4576308993900).

Almost surely, 2202211201001020 is an apocalyptic number.

202211201001020 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 202211201001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219662831707200).

202211201001020 is an abundant number, since it is smaller than the sum of its proper divisors (237114462413380).

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

202211201001020 is a wasteful number, since it uses less digits than its factorization.

202211201001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100439 (or 100437 counting only the distinct ones).

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

Adding to 202211201001020 its reverse (20100102112202), we get a palindrome (222311303113222).

The spelling of 202211201001020 in words is "two hundred two trillion, two hundred eleven billion, two hundred one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 4141 8282 16564 20705 41410 41609 58679 82820 83218 117358 166436 208045 234716 293395 416090 586790 832180 1173580 1705969 2405839 3411938 4202509 4811678 5926579 6823876 8405018 8529845 9623356 11853158 12029195 16810036 17059690 21012545 23706316 24058390 29632895 34119380 42025090 48116780 59265790 84050180 118531580 172302869 242989739 344605738 485979478 689211476 861514345 971958956 1214948695 1723028690 2429897390 2441574511 3446057380 4859794780 4883149022 9766298044 12207872555 24415745110 48831490220 100104554951 200209109902 246599025611 400418219804 493198051222 500522774755 986396102444 1001045549510 1232995128055 2002091099020 2465990256110 4931980512220 10110560050051 20221120100102 40442240200204 50552800250255 101105600500510 202211201001020