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11100401400 = 23352111681879
BaseRepresentation
bin10100101011010001…
…01010111011111000
31001122121100211001210
422111220222323320
5140213200321100
65033252043120
7542035566204
oct122550527370
931577324053
1011100401400
114786983960
1221996034a0
13107b97ba6a
14774367b04
1544e7c2c50
hex295a2aef8

11100401400 has 96 divisors (see below), whose sum is σ = 37539561600. Its totient is φ = 2691004800.

The previous prime is 11100401393. The next prime is 11100401441. The reversal of 11100401400 is 410400111.

It is a super-3 number, since 3×111004014003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 834340 + ... + 847539.

It is an arithmetic number, because the mean of its divisors is an integer number (391037100).

Almost surely, 211100401400 is an apocalyptic number.

11100401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100401400 is an abundant number, since it is smaller than the sum of its proper divisors (26439160200).

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

11100401400 is a wasteful number, since it uses less digits than its factorization.

11100401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681909 (or 1681900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11100401400 its reverse (410400111), we get a palindrome (11510801511).

The spelling of 11100401400 in words is "eleven billion, one hundred million, four hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1681879 3363758 5045637 6727516 8409395 10091274 13455032 16818790 18500669 20182548 25228185 33637580 37001338 40365096 42046975 50456370 55502007 67275160 74002676 84093950 92503345 100912740 111004014 126140925 148005352 168187900 185006690 201825480 222008028 252281850 277510035 336375800 370013380 444016056 462516725 504563700 555020070 740026760 925033450 1009127400 1110040140 1387550175 1850066900 2220080280 2775100350 3700133800 5550200700 11100401400