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133102233012 = 22378993719001
BaseRepresentation
bin111101111110110000…
…0101110010110110100
3110201120010100000021210
41323331200232112310
54140043132424022
6141051334441420
712421253212320
oct1737540562664
9421503300253
10133102233012
11514a2816771
1221967803270
13c722802078
1466294c4980
1536e039da0c
hex1efd82e5b4

133102233012 has 96 divisors (see below), whose sum is σ = 359329340160. Its totient is φ = 37559808000.

The previous prime is 133102233001. The next prime is 133102233037. The reversal of 133102233012 is 210332201331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 133102233012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6995512 + ... + 7014512.

It is an arithmetic number, because the mean of its divisors is an integer number (3743013960).

Almost surely, 2133102233012 is an apocalyptic number.

133102233012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133102233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179664670080).

133102233012 is an abundant number, since it is smaller than the sum of its proper divisors (226227107148).

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

133102233012 is a wasteful number, since it uses less digits than its factorization.

133102233012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20041 (or 20039 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133102233012 its reverse (210332201331), we get a palindrome (343434434343).

The spelling of 133102233012 in words is "one hundred thirty-three billion, one hundred two million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 937 1068 1246 1869 1874 2492 2811 3738 3748 5622 6559 7476 11244 13118 19001 19677 26236 38002 39354 57003 76004 78708 83393 114006 133007 166786 228012 250179 266014 333572 399021 500358 532028 583751 798042 1000716 1167502 1596084 1691089 1751253 2335004 3382178 3502506 5073267 6764356 7005012 10146534 11837623 17803937 20293068 23675246 35512869 35607874 47350492 53411811 71025738 71215748 106823622 124627559 142051476 213647244 249255118 373882677 498510236 747765354 1495530708 1584550393 3169100786 4753651179 6338201572 9507302358 11091852751 19014604716 22183705502 33275558253 44367411004 66551116506 133102233012