Search a number
-
+
10101838200020 = 2257471535233769
BaseRepresentation
bin1001001100000000010001…
…1110100011110011010100
31022202201121110202211110022
42103000010132203303110
52311002031034400040
633252415335044312
72061555652640450
oct223000436436324
938681543684408
1010101838200020
113245190344a96
121171979210698
135837a3741488
1426cd0836b660
15127b8a72e6b5
hex930047a3cd4

10101838200020 has 48 divisors (see below), whose sum is σ = 24760250242560. Its totient is φ = 3389796159744.

The previous prime is 10101838199993. The next prime is 10101838200023. The reversal of 10101838200020 is 2000283810101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101838200023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767610305 + ... + 767623464.

It is an arithmetic number, because the mean of its divisors is an integer number (515838546720).

Almost surely, 210101838200020 is an apocalyptic number.

10101838200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101838200020 is an abundant number, since it is smaller than the sum of its proper divisors (14658412042540).

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

10101838200020 is a wasteful number, since it uses less digits than its factorization.

10101838200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535233832 (or 1535233830 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 10101838200020 in words is "ten trillion, one hundred one billion, eight hundred thirty-eight million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 1535233769 3070467538 6140935076 7676168845 10746636383 15352337690 21493272766 30704675380 42986545532 53733181915 72155987143 107466363830 144311974286 214932727660 288623948572 360779935715 505091910001 721559871430 1010183820002 1443119742860 2020367640004 2525459550005 5050919100010 10101838200020