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31121100180 = 22335181318407
BaseRepresentation
bin11100111110111101…
…100100110110010100
32222022212211200201000
4130332331210312110
51002214000201210
622144041103300
72151131662332
oct347675446624
988285750630
1031121100180
1112220060205
126046487b30
132c1c722ba1
1417132bab52
15c2227bac0
hex73ef64d94

31121100180 has 96 divisors (see below), whose sum is σ = 97356430080. Its totient is φ = 8253083520.

The previous prime is 31121100163. The next prime is 31121100181. The reversal of 31121100180 is 8100112113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121100181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61464 + ... + 256943.

It is an arithmetic number, because the mean of its divisors is an integer number (1014129480).

Almost surely, 231121100180 is an apocalyptic number.

31121100180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31121100180 is an abundant number, since it is smaller than the sum of its proper divisors (66235329900).

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

31121100180 is a wasteful number, since it uses less digits than its factorization.

31121100180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318606 (or 318598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 31121100180 its reverse (8100112113), we get a palindrome (39221212293).

The spelling of 31121100180 in words is "thirty-one billion, one hundred twenty-one million, one hundred thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 181 270 362 540 543 724 905 1086 1629 1810 2172 2715 3258 3620 4887 5430 6516 8145 9774 10860 16290 19548 24435 32580 48870 97740 318407 636814 955221 1273628 1592035 1910442 2865663 3184070 3820884 4776105 5731326 6368140 8596989 9552210 11462652 14328315 17193978 19104420 28656630 34387956 42984945 57313260 57631667 85969890 115263334 171939780 172895001 230526668 288158335 345790002 518685003 576316670 691580004 864475005 1037370006 1152633340 1556055009 1728950010 2074740012 2593425015 3112110018 3457900020 5186850030 6224220036 7780275045 10373700060 15560550090 31121100180