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1301100020 = 2251143137537
BaseRepresentation
bin100110110001101…
…0011010111110100
310100200020201200122
41031203103113310
510131040200040
6333035031112
744146111343
oct11543232764
93320221618
101301100020
11608489780
1230389b498
1317973188c
14c4b29b5a
157935b1b5
hex4d8d35f4

1301100020 has 48 divisors (see below), whose sum is σ = 3050042688. Its totient is φ = 462120960.

The previous prime is 1301100019. The next prime is 1301100023. The reversal of 1301100020 is 200011031.

It is a super-2 number, since 2×13011000202 = 3385722524088000800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301099980 and 1301100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59309 + ... + 78228.

It is an arithmetic number, because the mean of its divisors is an integer number (63542556).

Almost surely, 21301100020 is an apocalyptic number.

1301100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301100020 is an abundant number, since it is smaller than the sum of its proper divisors (1748942668).

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

1301100020 is a wasteful number, since it uses less digits than its factorization.

1301100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137600 (or 137598 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1301100020 is about 36070.7640617717. The cubic root of 1301100020 is about 1091.7006306340.

Adding to 1301100020 its reverse (200011031), we get a palindrome (1501111051).

The spelling of 1301100020 in words is "one billion, three hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 137537 275074 550148 687685 1375370 1512907 2750740 3025814 5914091 6051628 7564535 11828182 15129070 23656364 29570455 30258140 59140910 65055001 118281820 130110002 260220004 325275005 650550010 1301100020