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131034031002 = 2327367316769
BaseRepresentation
bin111101000001000111…
…1001010001110011010
3110112012222122110111100
41322002033022032122
54121324202443002
6140110214012230
712316100613000
oct1720217121632
9415188573440
10131034031002
1150631326a06
122148b047076
13c4831986b4
1464b0954a70
15361da1811c
hex1e823ca39a

131034031002 has 96 divisors (see below), whose sum is σ = 336029616000. Its totient is φ = 36879397632.

The previous prime is 131034030973. The next prime is 131034031067. The reversal of 131034031002 is 200130430131.

131034031002 is a `hidden beast` number, since 1 + 3 + 10 + 340 + 310 + 0 + 2 = 666.

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

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, 255274 + ... + 572042.

It is an arithmetic number, because the mean of its divisors is an integer number (3500308500).

Almost surely, 2131034031002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131034031002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168014808000).

131034031002 is an abundant number, since it is smaller than the sum of its proper divisors (204995584998).

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

131034031002 is a wasteful number, since it uses less digits than its factorization.

131034031002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316865 (or 316848 counting only the distinct ones).

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

Adding to 131034031002 its reverse (200130430131), we get a palindrome (331164461133).

The spelling of 131034031002 in words is "one hundred thirty-one billion, thirty-four million, thirty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 343 402 441 469 603 686 882 938 1029 1206 1407 2058 2814 3087 3283 4221 6174 6566 8442 9849 19698 22981 29547 45962 59094 68943 137886 206829 316769 413658 633538 950307 1900614 2217383 2850921 4434766 5701842 6652149 13304298 15521681 19956447 21223523 31043362 39912894 42447046 46565043 63670569 93130086 108651767 127341138 139695129 148564661 191011707 217303534 279390258 297129322 325955301 382023414 445693983 651910602 891387966 977865903 1039952627 1337081949 1955731806 2079905254 2674163898 3119857881 6239715762 7279668389 9359573643 14559336778 18719147286 21839005167 43678010334 65517015501 131034031002