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100132233030 = 23258957121893
BaseRepresentation
bin101110101000001011…
…0001001111101000110
3100120110101110110212100
41131100112021331012
53120032322424110
6114000005132530
710143240636354
oct1352026117506
9316411413770
10100132233030
11395140427a5
12174a60ba146
13959a02a73b
144bbc8427d4
152910b59bc0
hex1750589f46

100132233030 has 96 divisors (see below), whose sum is σ = 263742130080. Its totient is φ = 26354465280.

The previous prime is 100132232999. The next prime is 100132233043. The reversal of 100132233030 is 30332231001.

100132233030 is a `hidden beast` number, since 10 + 0 + 1 + 322 + 330 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100132232994 and 100132233012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4562764 + ... + 4584656.

It is an arithmetic number, because the mean of its divisors is an integer number (2747313855).

Almost surely, 2100132233030 is an apocalyptic number.

100132233030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100132233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131871065040).

100132233030 is an abundant number, since it is smaller than the sum of its proper divisors (163609897050).

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

100132233030 is a wasteful number, since it uses less digits than its factorization.

100132233030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22566 (or 22563 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100132233030 its reverse (30332231001), we get a palindrome (130464464031).

The spelling of 100132233030 in words is "one hundred billion, one hundred thirty-two million, two hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 571 801 890 1142 1335 1602 1713 2670 2855 3426 4005 5139 5710 8010 8565 10278 17130 21893 25695 43786 50819 51390 65679 101638 109465 131358 152457 197037 218930 254095 304914 328395 394074 457371 508190 656790 762285 914742 985185 1524570 1948477 1970370 2286855 3896954 4573710 5845431 9742385 11690862 12500903 17536293 19484770 25001806 29227155 35072586 37502709 58454310 62504515 75005418 87681465 112508127 125009030 175362930 187513545 225016254 375027090 562540635 1112580367 1125081270 2225160734 3337741101 5562901835 6675482202 10013223303 11125803670 16688705505 20026446606 33377411010 50066116515 100132233030