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31330121100 = 223521718613301
BaseRepresentation
bin11101001011011010…
…111011010110001100
32222212110011001111120
4131023122323112030
51003131002333400
622220505120540
72156250430635
oct351332732614
988773131446
1031330121100
1112318044773
1260a4489150
132c53b181c5
141732d6a88c
15c357b8ca0
hex74b6bb58c

31330121100 has 144 divisors (see below), whose sum is σ = 96061414176. Its totient is φ = 7856640000.

The previous prime is 31330121063. The next prime is 31330121111. The reversal of 31330121100 is 112103313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31330121100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9489450 + ... + 9492750.

It is an arithmetic number, because the mean of its divisors is an integer number (667093154).

Almost surely, 231330121100 is an apocalyptic number.

31330121100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48030707088).

31330121100 is an abundant number, since it is smaller than the sum of its proper divisors (64731293076).

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

31330121100 is a wasteful number, since it uses less digits than its factorization.

31330121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5196 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31330121100 its reverse (112103313), we get a palindrome (31442224413).

The spelling of 31330121100 in words is "thirty-one billion, three hundred thirty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 1861 2550 3301 3722 5100 5583 6602 7444 9305 9903 11166 13204 16505 18610 19806 22332 27915 31637 33010 37220 39612 46525 49515 55830 56117 63274 66020 82525 93050 94911 99030 111660 112234 126548 139575 158185 165050 168351 186100 189822 198060 224468 247575 279150 280585 316370 330100 336702 379644 474555 495150 558300 561170 632740 673404 790925 841755 949110 990300 1122340 1402925 1581850 1683510 1898220 2372775 2805850 3163700 3367020 4208775 4745550 5611700 6143161 8417550 9491100 12286322 16835100 18429483 24572644 30715805 36858966 61431610 73717932 92147415 104433737 122863220 153579025 184294830 208867474 307158050 313301211 368589660 417734948 460737075 522168685 614316100 626602422 921474150 1044337370 1253204844 1566506055 1842948300 2088674740 2610843425 3133012110 5221686850 6266024220 7832530275 10443373700 15665060550 31330121100