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13310431002 = 2331123165713
BaseRepresentation
bin11000110010101110…
…10000111100011010
31021100121220221202000
430121113100330122
5204224432243002
610040440421430
7650562540201
oct143127207432
937317827660
1013310431002
115710433900
1226b5777876
1313417b259b
14903a96238
1552d82161c
hex3195d0f1a

13310431002 has 96 divisors (see below), whose sum is σ = 33561454080. Its totient is φ = 3903292800.

The previous prime is 13310430979. The next prime is 13310431003. The reversal of 13310431002 is 20013401331.

13310431002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13310431003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 169698 + ... + 235410.

It is an arithmetic number, because the mean of its divisors is an integer number (349598480).

Almost surely, 213310431002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310431002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780727040).

13310431002 is an abundant number, since it is smaller than the sum of its proper divisors (20251023078).

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

13310431002 is a wasteful number, since it uses less digits than its factorization.

13310431002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65777 (or 65760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13310431002 its reverse (20013401331), we get a palindrome (33323832333).

The spelling of 13310431002 in words is "thirteen billion, three hundred ten million, four hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 121 186 198 242 279 297 341 363 558 594 682 726 837 1023 1089 1674 2046 2178 3069 3267 3751 6138 6534 7502 9207 11253 18414 22506 33759 65713 67518 101277 131426 197139 202554 394278 591417 722843 1182834 1445686 1774251 2037103 2168529 3548502 4074206 4337058 6111309 6505587 7951273 12222618 13011174 15902546 18333927 19516761 22408133 23853819 36667854 39033522 44816266 47707638 55001781 67224399 71561457 110003562 134448798 143122914 201673197 214684371 246489463 403346394 429368742 492978926 605019591 739468389 1210039182 1478936778 2218405167 4436810334 6655215501 13310431002