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1012004100 = 2232521124449
BaseRepresentation
bin111100010100011…
…111010100000100
32121112021010122100
4330110133110010
54033033112400
6244230432100
734035615162
oct7424372404
92545233570
101012004100
1147a282728
12242b02630
13131880cc3
1498594232
155dca3100
hex3c51f504

1012004100 has 54 divisors (see below), whose sum is σ = 3172073450. Its totient is φ = 269867520.

The previous prime is 1012004099. The next prime is 1012004111. The reversal of 1012004100 is 14002101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 189117504 + 822886596 = 13752^2 + 28686^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 561325 + ... + 563124.

Almost surely, 21012004100 is an apocalyptic number.

1012004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012004100 is an abundant number, since it is smaller than the sum of its proper divisors (2160069350).

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

1012004100 is a wasteful number, since it uses less digits than its factorization.

1012004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124469 (or 1124459 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012004100 is about 31812.0118823063. The cubic root of 1012004100 is about 1003.9854616605.

Adding to 1012004100 its reverse (14002101), we get a palindrome (1026006201).

The spelling of 1012004100 in words is "one billion, twelve million, four 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 1124449 2248898 3373347 4497796 5622245 6746694 10120041 11244490 13493388 16866735 20240082 22488980 28111225 33733470 40480164 50600205 56222450 67466940 84333675 101200410 112444900 168667350 202400820 253001025 337334700 506002050 1012004100