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40120001100 = 22325244577779
BaseRepresentation
bin100101010111010101…
…101010001001001100
310211120000212020001200
4211113111222021030
51124131210013400
630233022505500
72620132245144
oct452725521114
9124500766050
1040120001100
1116018770703
127938135290
133a24ba9b2a
141d284c7924
15109c2dcb00
hex95756a24c

40120001100 has 54 divisors (see below), whose sum is σ = 125753917380. Its totient is φ = 10698666720.

The previous prime is 40120001087. The next prime is 40120001107. The reversal of 40120001100 is 110002104.

It is a happy number.

It is a super-2 number, since 2×401200011002 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40120001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22287990 + ... + 22289789.

Almost surely, 240120001100 is an apocalyptic number.

It is an amenable number.

40120001100 is an abundant number, since it is smaller than the sum of its proper divisors (85633916280).

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

40120001100 is a wasteful number, since it uses less digits than its factorization.

40120001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44577799 (or 44577789 counting only the distinct ones).

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

Adding to 40120001100 its reverse (110002104), we get a palindrome (40230003204).

The spelling of 40120001100 in words is "forty billion, one hundred twenty million, one 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 44577779 89155558 133733337 178311116 222888895 267466674 401200011 445777790 534933348 668666685 802400022 891555580 1114444475 1337333370 1604800044 2006000055 2228888950 2674666740 3343333425 4012000110 4457777900 6686666850 8024000220 10030000275 13373333700 20060000550 40120001100