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1213020100 = 2252831011447
BaseRepresentation
bin100100001001101…
…0011011111000100
310010112111210202101
41020103103133010
54441013120400
6320211121444
742026333515
oct11023233704
93115453671
101213020100
11572799a56
1229a2a3284
13164402896
14b715ca0c
157175d56a
hex484d37c4

1213020100 has 72 divisors (see below), whose sum is σ = 2692202688. Its totient is φ = 474288000.

The previous prime is 1213020073. The next prime is 1213020101. The reversal of 1213020100 is 10203121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1213020101) 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, 837577 + ... + 839023.

It is an arithmetic number, because the mean of its divisors is an integer number (37391704).

Almost surely, 21213020100 is an apocalyptic number.

1213020100 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 1213020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346101344).

1213020100 is an abundant number, since it is smaller than the sum of its proper divisors (1479182588).

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

1213020100 is a wasteful number, since it uses less digits than its factorization.

1213020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1213020100 is about 34828.4380930297. The cubic root of 1213020100 is about 1066.4880636293.

Adding to 1213020100 its reverse (10203121), we get a palindrome (1223223221).

The spelling of 1213020100 in words is "one billion, two hundred thirteen million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 101 166 202 332 404 415 505 830 1010 1447 1660 2020 2075 2525 2894 4150 5050 5788 7235 8300 8383 10100 14470 16766 28940 33532 36175 41915 72350 83830 120101 144700 146147 167660 209575 240202 292294 419150 480404 584588 600505 730735 838300 1201010 1461470 2402020 2922940 3002525 3653675 6005050 7307350 12010100 12130201 14614700 24260402 48520804 60651005 121302010 242604020 303255025 606510050 1213020100