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45331030200 = 23352101974143
BaseRepresentation
bin101010001101111100…
…001010000010111000
311100000012022221010110
4222031330022002320
51220314220431300
632454053144320
73163226253621
oct521574120270
9140005287113
1045331030200
1118252203a25
12895132b0a0
134375684ac1
1422a05dca48
1512a4a2b550
hexa8df0a0b8

45331030200 has 96 divisors (see below), whose sum is σ = 140665996800. Its totient is φ = 12076248960.

The previous prime is 45331030193. The next prime is 45331030231. The reversal of 45331030200 is 203013354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574329 + ... + 648471.

It is an arithmetic number, because the mean of its divisors is an integer number (1465270800).

Almost surely, 245331030200 is an apocalyptic number.

45331030200 is a gapful number since it is divisible by the number (40) 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 45331030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70332998400).

45331030200 is an abundant number, since it is smaller than the sum of its proper divisors (95334966600).

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

45331030200 is a wasteful number, since it uses less digits than its factorization.

45331030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75181 (or 75172 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 45331030200 its reverse (203013354), we get a palindrome (45534043554).

The spelling of 45331030200 in words is "forty-five billion, three hundred thirty-one million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1019 2038 3057 4076 5095 6114 8152 10190 12228 15285 20380 24456 25475 30570 40760 50950 61140 74143 76425 101900 122280 148286 152850 203800 222429 296572 305700 370715 444858 593144 611400 741430 889716 1112145 1482860 1779432 1853575 2224290 2965720 3707150 4448580 5560725 7414300 8897160 11121450 14828600 22242900 44485800 75551717 151103434 226655151 302206868 377758585 453310302 604413736 755517170 906620604 1133275755 1511034340 1813241208 1888792925 2266551510 3022068680 3777585850 4533103020 5666378775 7555171700 9066206040 11332757550 15110343400 22665515100 45331030200