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131002323102 = 232721735924337
BaseRepresentation
bin111101000000001011…
…0001101000010011110
3110112010202222112102200
41322000112031002132
54121243043314402
6140103122232330
712315234242100
oct1720026150236
9415122875380
10131002323102
115061543a332
12214804b56a6
13c479746221
1464aa65d570
15361ad5321c
hex1e8058d09e

131002323102 has 144 divisors (see below), whose sum is σ = 350589863520. Its totient is φ = 35127945216.

The previous prime is 131002323047. The next prime is 131002323107. The reversal of 131002323102 is 201323200131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002323107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5370678 + ... + 5395014.

It is an arithmetic number, because the mean of its divisors is an integer number (2434651830).

Almost surely, 2131002323102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131002323102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175294931760).

131002323102 is an abundant number, since it is smaller than the sum of its proper divisors (219587540418).

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

131002323102 is a wasteful number, since it uses less digits than its factorization.

131002323102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24735 (or 24725 counting only the distinct ones).

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

Adding to 131002323102 its reverse (201323200131), we get a palindrome (332325523233).

The spelling of 131002323102 in words is "one hundred thirty-one billion, two million, three hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 359 441 714 718 833 882 1071 1077 1666 2142 2154 2499 2513 3231 4998 5026 6103 6462 7497 7539 12206 14994 15078 17591 18309 22617 24337 35182 36618 42721 45234 48674 52773 54927 73011 85442 105546 109854 128163 146022 158319 170359 219033 256326 299047 316638 340718 384489 413729 438066 511077 598094 768978 827458 897141 1022154 1192513 1241187 1533231 1794282 2385026 2482374 2691423 2896103 3066462 3577539 3723561 5382846 5792206 7155078 7447122 8688309 8736983 10732617 17376618 17473966 20272721 21465234 26064927 26210949 40545442 52129854 52421898 60818163 61158881 78632847 121636326 122317762 148528711 157265694 182454489 183476643 297057422 364908978 366953286 428112167 445586133 550429929 856224334 891172266 1039700977 1100859858 1284336501 1336758399 2079401954 2568673002 2673516798 3119102931 3853009503 6238205862 7277906839 7706019006 9357308793 14555813678 18714617586 21833720517 43667441034 65501161551 131002323102