Search a number
-
+
1004201042100 = 223524397624913
BaseRepresentation
bin11101001110011110000…
…10111110000010110100
310120000000111102110211220
432213033002332002310
5112423100431321400
62045153521230340
7132360016010124
oct16471702760264
93500014373756
101004201042100
11357974344013
12142754a923b0
137390774a979
1436864370c84
151b1c549e7a0
hexe9cf0be0b4

1004201042100 has 72 divisors (see below), whose sum is σ = 2912107154880. Its totient is φ = 267176916480.

The previous prime is 1004201042083. The next prime is 1004201042137. The reversal of 1004201042100 is 12401024001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1004201042100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3680757 + ... + 3944156.

Almost surely, 21004201042100 is an apocalyptic number.

1004201042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004201042100 is an abundant number, since it is smaller than the sum of its proper divisors (1907906112780).

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

1004201042100 is a wasteful number, since it uses less digits than its factorization.

1004201042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625369 (or 7625362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1004201042100 its reverse (12401024001), we get a palindrome (1016602066101).

The spelling of 1004201042100 in words is "one trillion, four billion, two hundred one million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 439 878 1317 1756 2195 2634 4390 5268 6585 8780 10975 13170 21950 26340 32925 43900 65850 131700 7624913 15249826 22874739 30499652 38124565 45749478 76249130 91498956 114373695 152498260 190622825 228747390 381245650 457494780 571868475 762491300 1143736950 2287473900 3347336807 6694673614 10042010421 13389347228 16736684035 20084020842 33473368070 40168041684 50210052105 66946736140 83683420175 100420104210 167366840350 200840208420 251050260525 334733680700 502100521050 1004201042100