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132030642700 = 22521110310910691
BaseRepresentation
bin111101011110110100…
…0111011101000001100
3110121210102221120201201
41322331220323220030
54130344321031300
6140353134515244
712352561642315
oct1727550735014
9417712846651
10132030642700
1150aa2946040
1221708965b24
13c5b17ba568
14656705d60c
15367b27a66a
hex1ebda3ba0c

132030642700 has 144 divisors (see below), whose sum is σ = 318512113920. Its totient is φ = 47104416000.

The previous prime is 132030642697. The next prime is 132030642701. The reversal of 132030642700 is 7246030231.

It is a super-2 number, since 2×1320306427002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132030642701) 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, 12344355 + ... + 12355045.

It is an arithmetic number, because the mean of its divisors is an integer number (2211889680).

Almost surely, 2132030642700 is an apocalyptic number.

132030642700 is a gapful number since it is divisible by the number (10) 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 132030642700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159256056960).

132030642700 is an abundant number, since it is smaller than the sum of its proper divisors (186481471220).

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

132030642700 is a wasteful number, since it uses less digits than its factorization.

132030642700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 132030642700 its reverse (7246030231), we get a palindrome (139276672931).

The spelling of 132030642700 in words is "one hundred thirty-two billion, thirty million, six hundred forty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 109 110 206 218 220 275 412 436 515 545 550 1030 1090 1100 1133 1199 2060 2180 2266 2398 2575 2725 4532 4796 5150 5450 5665 5995 10300 10691 10900 11227 11330 11990 21382 22454 22660 23980 28325 29975 42764 44908 53455 56135 56650 59950 106910 112270 113300 117601 119900 123497 213820 224540 235202 246994 267275 280675 470404 493988 534550 561350 588005 617485 1069100 1101173 1122700 1165319 1176010 1234970 2202346 2330638 2352020 2469940 2940025 3087425 4404692 4661276 5505865 5826595 5880050 6174850 11011730 11653190 11760100 12112903 12349700 12818509 22023460 23306380 24225806 25637018 27529325 29132975 48451612 51274036 55058650 58265950 60564515 64092545 110117300 116531900 120027857 121129030 128185090 240055714 242258060 256370180 302822575 320462725 480111428 600139285 605645150 640925450 1200278570 1211290300 1281850900 1320306427 2400557140 2640612854 3000696425 5281225708 6001392850 6601532135 12002785700 13203064270 26406128540 33007660675 66015321350 132030642700