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10032011400 = 2335219880001
BaseRepresentation
bin10010101011111010…
…00101100010001000
3221220010222222111210
421111331011202020
5131021143331100
64335244453120
7503413455435
oct112575054210
927803888453
1010032011400
114288899714
121b3b84a1a0
13c3b517b28
146b24d6b8c
153daad2c50
hex255f45888

10032011400 has 96 divisors (see below), whose sum is σ = 32736074400. Its totient is φ = 2534400000.

The previous prime is 10032011387. The next prime is 10032011411. The reversal of 10032011400 is 411023001.

It is a happy number.

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

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, 428601 + ... + 451400.

It is an arithmetic number, because the mean of its divisors is an integer number (341000775).

Almost surely, 210032011400 is an apocalyptic number.

10032011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032011400 is an abundant number, since it is smaller than the sum of its proper divisors (22704063000).

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

10032011400 is a wasteful number, since it uses less digits than its factorization.

10032011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880039 (or 880030 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10032011400 its reverse (411023001), we get a palindrome (10443034401).

The spelling of 10032011400 in words is "ten billion, thirty-two million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 880001 1760002 2640003 3520004 4400005 5280006 7040008 8800010 10560012 13200015 16720019 17600020 21120024 22000025 26400030 33440038 35200040 44000050 50160057 52800060 66000075 66880076 83600095 88000100 100320114 105600120 132000150 133760152 167200190 176000200 200640228 250800285 264000300 334400380 401280456 418000475 501600570 528000600 668800760 836000950 1003201140 1254001425 1672001900 2006402280 2508002850 3344003800 5016005700 10032011400