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31324101400 = 23521731729063
BaseRepresentation
bin11101001011000011…
…111101101100011000
32222212000211020000201
4131023003331230120
51003122432221100
622220132111544
72156145316534
oct351303755430
988760736021
1031324101400
1112314703009
1260a24655b4
132c527bb257
141732240bc4
15c34eca36a
hex74b0fdb18

31324101400 has 96 divisors (see below), whose sum is σ = 77358486240. Its totient is φ = 11754997760.

The previous prime is 31324101331. The next prime is 31324101409. The reversal of 31324101400 is 410142313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31324101409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063269 + ... + 1092331.

It is an arithmetic number, because the mean of its divisors is an integer number (805817565).

Almost surely, 231324101400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31324101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38679243120).

31324101400 is an abundant number, since it is smaller than the sum of its proper divisors (46034384840).

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

31324101400 is a wasteful number, since it uses less digits than its factorization.

31324101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29413 (or 29404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 31324101400 its reverse (410142313), we get a palindrome (31734243713).

The spelling of 31324101400 in words is "thirty-one billion, three hundred twenty-four million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 317 340 425 634 680 850 1268 1585 1700 2536 3170 3400 5389 6340 7925 10778 12680 15850 21556 26945 29063 31700 43112 53890 58126 63400 107780 116252 134725 145315 215560 232504 269450 290630 494071 538900 581260 726575 988142 1077800 1162520 1453150 1976284 2470355 2906300 3952568 4940710 5812600 9212971 9881420 12351775 18425942 19762840 24703550 36851884 46064855 49407100 73703768 92129710 98814200 156620507 184259420 230324275 313241014 368518840 460648550 626482028 783102535 921297100 1252964056 1566205070 1842594200 3132410140 3915512675 6264820280 7831025350 15662050700 31324101400