Search a number
-
+
31303040100 = 223521730719993
BaseRepresentation
bin11101001001110011…
…100111110001100100
32222210120012012100120
4131021303213301210
51003102034240400
622214100441540
72155501310403
oct351163476144
988716165316
1031303040100
1112303828382
1260973a92b0
132c4b325a47
14172d51b63a
15c33219ca0
hex749ce7c64

31303040100 has 144 divisors (see below), whose sum is σ = 96214966848. Its totient is φ = 7830466560.

The previous prime is 31303040099. The next prime is 31303040123. The reversal of 31303040100 is 104030313.

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 31303040100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1555704 + ... + 1575696.

It is an arithmetic number, because the mean of its divisors is an integer number (668159492).

Almost surely, 231303040100 is an apocalyptic number.

31303040100 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 31303040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48107483424).

31303040100 is an abundant number, since it is smaller than the sum of its proper divisors (64911926748).

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

31303040100 is a wasteful number, since it uses less digits than its factorization.

31303040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20334 (or 20327 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31303040100 its reverse (104030313), we get a palindrome (31407070413).

The spelling of 31303040100 in words is "thirty-one billion, three hundred three million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 307 340 425 510 614 850 921 1020 1228 1275 1535 1700 1842 2550 3070 3684 4605 5100 5219 6140 7675 9210 10438 15350 15657 18420 19993 20876 23025 26095 30700 31314 39986 46050 52190 59979 62628 78285 79972 92100 99965 104380 119958 130475 156570 199930 239916 260950 299895 313140 339881 391425 399860 499825 521900 599790 679762 782850 999650 1019643 1199580 1359524 1499475 1565700 1699405 1999300 2039286 2998950 3398810 4078572 5098215 5997900 6137851 6797620 8497025 10196430 12275702 16994050 18413553 20392860 24551404 25491075 30689255 33988100 36827106 50982150 61378510 73654212 92067765 101964300 104343467 122757020 153446275 184135530 208686934 306892550 313030401 368271060 417373868 460338825 521717335 613785100 626060802 920677650 1043434670 1252121604 1565152005 1841355300 2086869340 2608586675 3130304010 5217173350 6260608020 7825760025 10434346700 15651520050 31303040100