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1201330100 = 225219679437
BaseRepresentation
bin100011110011010…
…1101011110110100
310002201111220002102
41013212231132310
54430020030400
6315112401232
741525065055
oct10746553664
93081456072
101201330100
115671350a3
122963a6218
13161b6ba19
14b579872c
15706ee9d5
hex479ad7b4

1201330100 has 72 divisors (see below), whose sum is σ = 2785342560. Its totient is φ = 448398720.

The previous prime is 1201330069. The next prime is 1201330103. The reversal of 1201330100 is 10331021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201330103) 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, 122582 + ... + 132018.

Almost surely, 21201330100 is an apocalyptic number.

1201330100 is a gapful number since it is divisible by the number (10) 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 1201330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392671280).

1201330100 is an abundant number, since it is smaller than the sum of its proper divisors (1584012460).

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

1201330100 is a wasteful number, since it uses less digits than its factorization.

1201330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1201330100 is about 34660.2091742101. The cubic root of 1201330100 is about 1063.0510470317.

Adding to 1201330100 its reverse (10331021), we get a palindrome (1211661121).

The spelling of 1201330100 in words is "one billion, two hundred one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 134 190 268 335 380 475 670 950 1273 1340 1675 1900 2546 3350 5092 6365 6700 9437 12730 18874 25460 31825 37748 47185 63650 94370 127300 179303 188740 235925 358606 471850 632279 717212 896515 943700 1264558 1793030 2529116 3161395 3586060 4482575 6322790 8965150 12013301 12645580 15806975 17930300 24026602 31613950 48053204 60066505 63227900 120133010 240266020 300332525 600665050 1201330100