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130032010311102 = 23217618447824701
BaseRepresentation
bin11101100100001101101111…
…110010001011010110111110
3122001101221100101001120112200
4131210031233302023112332
5114020421024114423402
61140315514134012330
736250334301645564
oct3544155762132676
9561357311046480
10130032010311102
11384832a1990799
12127010a91a70a6
135772c73294983
1424178235c7a34
15100766e92021c
hex76436fc8b5be

130032010311102 has 96 divisors (see below), whose sum is σ = 303235298555904. Its totient is φ = 40120797312000.

The previous prime is 130032010311101. The next prime is 130032010311103. The reversal of 130032010311102 is 201113010230031.

130032010311102 is a `hidden beast` number, since 1 + 30 + 0 + 320 + 1 + 0 + 311 + 1 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130032010311101) and next prime (130032010311103).

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 (130032010311101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157259352 + ... + 158084052.

It is an arithmetic number, because the mean of its divisors is an integer number (3158701026624).

Almost surely, 2130032010311102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130032010311102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151617649277952).

130032010311102 is an abundant number, since it is smaller than the sum of its proper divisors (173203288244802).

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

130032010311102 is a wasteful number, since it uses less digits than its factorization.

130032010311102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833234 (or 833231 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130032010311102 its reverse (201113010230031), we get a palindrome (331145020541133).

The spelling of 130032010311102 in words is "one hundred thirty trillion, thirty-two billion, ten million, three hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 8447 9333 16894 18666 25341 50682 76023 143599 152046 287198 430797 515267 824701 861594 1030534 1292391 1545801 1649402 2474103 2584782 3091602 4637403 4948206 7422309 8759539 9274806 14019917 14844618 17519078 26278617 28039834 42059751 50306761 52557234 78835851 84119502 100613522 126179253 150920283 157671702 252358506 301840566 452760849 855214937 905521698 1710429874 2565644811 5131289622 6966249347 7696934433 13932498694 15393868866 20898748041 41797496082 62696244123 118426238899 125392488246 236852477798 355278716697 424941210167 710557433394 849882420334 1065836150091 1274823630501 2131672300182 2549647261002 3824470891503 7224000572839 7648941783006 14448001145678 21672001718517 43344003437034 65016005155551 130032010311102