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1301012100 = 2232521445569
BaseRepresentation
bin100110110001011…
…1101111010000100
310100200002021002100
41031202331322010
510131024341400
6333033112100
744145264123
oct11542757204
93320067070
101301012100
11608429713
12303858630
1317970085b
14c4b05aba
1579340100
hex4d8bde84

1301012100 has 54 divisors (see below), whose sum is σ = 4077952970. Its totient is φ = 346936320.

The previous prime is 1301012081. The next prime is 1301012101. The reversal of 1301012100 is 12101031.

1301012100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 287099136 + 1013912964 = 16944^2 + 31842^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1301012101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 721885 + ... + 723684.

Almost surely, 21301012100 is an apocalyptic number.

1301012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301012100 is an abundant number, since it is smaller than the sum of its proper divisors (2776940870).

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

1301012100 is a wasteful number, since it uses less digits than its factorization.

1301012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445589 (or 1445579 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1301012100 is about 36069.5453256622. The cubic root of 1301012100 is about 1091.6760400363.

Adding to 1301012100 its reverse (12101031), we get a palindrome (1313113131).

The spelling of 1301012100 in words is "one billion, three hundred one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1445569 2891138 4336707 5782276 7227845 8673414 13010121 14455690 17346828 21683535 26020242 28911380 36139225 43367070 52040484 65050605 72278450 86734140 108417675 130101210 144556900 216835350 260202420 325253025 433670700 650506050 1301012100