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2101004400 = 2435211159167
BaseRepresentation
bin111110100111010…
…1100100001110000
312102102102002012210
41331032230201300
513300324120100
6544251452120
7103031146155
oct17516544160
95372362183
102101004400
11988a64780
124a7757040
13276380091
1415d06c22c
15c46b4c50
hex7d3ac870

2101004400 has 120 divisors (see below), whose sum is σ = 7342101504. Its totient is φ = 509331200.

The previous prime is 2101004371. The next prime is 2101004407. The reversal of 2101004400 is 44001012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101004407) 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, 66384 + ... + 92783.

Almost surely, 22101004400 is an apocalyptic number.

2101004400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101004400 is an abundant number, since it is smaller than the sum of its proper divisors (5241097104).

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

2101004400 is a wasteful number, since it uses less digits than its factorization.

2101004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159199 (or 159188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2101004400 is about 45836.7145419477. The cubic root of 2101004400 is about 1280.7832933539.

Adding to 2101004400 its reverse (44001012), we get a palindrome (2145005412).

The spelling of 2101004400 in words is "two billion, one hundred one million, four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 159167 318334 477501 636668 795835 955002 1273336 1591670 1750837 1910004 2387505 2546672 3183340 3501674 3820008 3979175 4775010 5252511 6366680 7003348 7640016 7958350 8754185 9550020 10505022 11937525 12733360 14006696 15916700 17508370 19100040 21010044 23875050 26262555 28013392 31833400 35016740 38200080 42020088 43770925 47750100 52525110 63666800 70033480 84040176 87541850 95500200 105050220 131312775 140066960 175083700 191000400 210100440 262625550 350167400 420200880 525251100 700334800 1050502200 2101004400