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20306022126 = 23131273535807
BaseRepresentation
bin10010111010010101…
…010100111011101110
31221102011100210200120
4102322111110323232
5313041320202001
613154540305410
71316126224455
oct227225247356
957364323616
1020306022126
118680246a75
123b28542266
131bb7c03810
14da8bc5b9c
157dca69236
hex4ba554eee

20306022126 has 64 divisors (see below), whose sum is σ = 44212912128. Its totient is φ = 6180185088.

The previous prime is 20306022097. The next prime is 20306022161. The reversal of 20306022126 is 62122060302.

It is a junction number, because it is equal to n+sod(n) for n = 20306022096 and 20306022105.

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, 3493915 + ... + 3499721.

It is an arithmetic number, because the mean of its divisors is an integer number (690826752).

Almost surely, 220306022126 is an apocalyptic number.

20306022126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20306022126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22106456064).

20306022126 is an abundant number, since it is smaller than the sum of its proper divisors (23906890002).

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

20306022126 is a wasteful number, since it uses less digits than its factorization.

20306022126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20306022126 its reverse (62122060302), we get a palindrome (82428082428).

The spelling of 20306022126 in words is "twenty billion, three hundred six million, twenty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 127 254 353 381 706 762 1059 1651 2118 3302 4589 4953 5807 9178 9906 11614 13767 17421 27534 34842 44831 75491 89662 134493 150982 226473 268986 452946 582803 737489 1165606 1474978 1748409 2049871 2212467 3496818 4099742 4424934 6149613 9587357 12299226 19174714 26648323 28762071 53296646 57524142 79944969 159889938 260333617 520667234 781000851 1562001702 3384337021 6768674042 10153011063 20306022126