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2513102020 = 22511132932999
BaseRepresentation
bin1001010111001010…
…1110010011000100
320111010211210212121
42111302232103010
520121323231040
61053212255324
7116164005022
oct22562562304
96433753777
102513102020
11107a642820
125a1771544
13310868c20
1419baa1712
15ea967c4a
hex95cae4c4

2513102020 has 96 divisors (see below), whose sum is σ = 6223392000. Its totient is φ = 840399360.

The previous prime is 2513101967. The next prime is 2513102021. The reversal of 2513102020 is 202013152.

It is a junction number, because it is equal to n+sod(n) for n = 2513101985 and 2513102003.

It is not an unprimeable number, because it can be changed into a prime (2513102021) 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, 836481 + ... + 839479.

It is an arithmetic number, because the mean of its divisors is an integer number (64827000).

Almost surely, 22513102020 is an apocalyptic number.

2513102020 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 2513102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111696000).

2513102020 is an abundant number, since it is smaller than the sum of its proper divisors (3710289980).

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

2513102020 is a wasteful number, since it uses less digits than its factorization.

2513102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2513102020 is about 50130.8489854301. The cubic root of 2513102020 is about 1359.5756353316.

Adding to 2513102020 its reverse (202013152), we get a palindrome (2715115172).

The spelling of 2513102020 in words is "two billion, five hundred thirteen million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 293 572 586 715 1172 1430 1465 2860 2930 2999 3223 3809 5860 5998 6446 7618 11996 12892 14995 15236 16115 19045 29990 32230 32989 38090 38987 41899 59980 64460 65978 76180 77974 83798 131956 155948 164945 167596 194935 209495 329890 389870 418990 428857 659780 779740 837980 857714 878707 1715428 1757414 2144285 3514828 4288570 4393535 8577140 8787070 9665777 11423191 17574140 19331554 22846382 38663108 45692764 48328885 57115955 96657770 114231910 125655101 193315540 228463820 251310202 502620404 628275505 1256551010 2513102020