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1013213122020 = 2232511511723799
BaseRepresentation
bin11101011111010000011…
…01010100110111100100
310120212021120020120101200
432233220031110313210
5113100030024401040
62053244053322500
7133126236302451
oct16575015246744
93525246216350
101013213122020
11360779436050
1214444b036430
137471286a438
143707b20c828
151b551765630
hexebe8354de4

1013213122020 has 72 divisors (see below), whose sum is σ = 3352814337600. Its totient is φ = 245627423040.

The previous prime is 1013213122013. The next prime is 1013213122027. The reversal of 1013213122020 is 202213123101.

1013213122020 is a `hidden beast` number, since 10 + 1 + 321 + 312 + 2 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1013213122013) and next prime (1013213122027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013213121984 and 1013213122002.

It is not an unprimeable number, because it can be changed into a prime (1013213122027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255859920 + ... + 255863879.

It is an arithmetic number, because the mean of its divisors is an integer number (46566865800).

Almost surely, 21013213122020 is an apocalyptic number.

1013213122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013213122020 is an abundant number, since it is smaller than the sum of its proper divisors (2339601215580).

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

1013213122020 is a wasteful number, since it uses less digits than its factorization.

1013213122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511723825 (or 511723820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013213122020 its reverse (202213123101), we get a palindrome (1215426245121).

The spelling of 1013213122020 in words is "one trillion, thirteen billion, two hundred thirteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 511723799 1023447598 1535171397 2046895196 2558618995 3070342794 4605514191 5117237990 5628961789 6140685588 7675856985 9211028382 10234475980 11257923578 15351713970 16886885367 18422056764 22515847156 23027570955 28144808945 30703427940 33773770734 46055141910 50660656101 56289617890 67547541468 84434426835 92110283820 101321312202 112579235780 168868853670 202642624404 253303280505 337737707340 506606561010 1013213122020