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993131202 = 23797317769
BaseRepresentation
bin111011001100011…
…111101011000010
32120012202021220010
4323030133223002
54013220144302
6242314125350
733416322150
oct7314375302
92505667803
10993131202
1146a662198
12238720856
1312a9a38cb
1495c803d0
155c2c616c
hex3b31fac2

993131202 has 64 divisors (see below), whose sum is σ = 2303642880. Its totient is φ = 279576576.

The previous prime is 993131189. The next prime is 993131219. The reversal of 993131202 is 202131399.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 993131202.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1291074 + ... + 1291842.

It is an arithmetic number, because the mean of its divisors is an integer number (35994420).

Almost surely, 2993131202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993131202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151821440).

993131202 is an abundant number, since it is smaller than the sum of its proper divisors (1310511678).

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

993131202 is a wasteful number, since it uses less digits than its factorization.

993131202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 993131202 is about 31513.9842292275. The cubic root of 993131202 is about 997.7051383050.

The spelling of 993131202 in words is "nine hundred ninety-three million, one hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 317 582 634 679 769 951 1358 1538 1902 2037 2219 2307 4074 4438 4614 5383 6657 10766 13314 16149 30749 32298 61498 74593 92247 149186 184494 215243 223779 243773 430486 447558 487546 522151 645729 731319 1044302 1291458 1462638 1566453 1706411 3132906 3412822 5119233 10238466 23645981 47291962 70937943 141875886 165521867 331043734 496565601 993131202