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100232203020 = 223537102144221
BaseRepresentation
bin101110101011001001…
…1100000101100001100
3100120201100120110220120
41131112103200230030
53120233420444040
6114013535544540
710145563445145
oct1352623405414
9316640513816
10100232203020
1139565513724
121751368b150
1395b4960691
144bcbc26acc
1529198057d0
hex17564e0b0c

100232203020 has 96 divisors (see below), whose sum is σ = 288524139456. Its totient is φ = 25980134400.

The previous prime is 100232202989. The next prime is 100232203061. The reversal of 100232203020 is 20302232001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244510 + ... + 2288730.

It is an arithmetic number, because the mean of its divisors is an integer number (3005459786).

Almost surely, 2100232203020 is an apocalyptic number.

100232203020 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 100232203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144262069728).

100232203020 is an abundant number, since it is smaller than the sum of its proper divisors (188291936436).

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

100232203020 is a wasteful number, since it uses less digits than its factorization.

100232203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45291 (or 45289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 100232203020 its reverse (20302232001), we get a palindrome (120534435021).

The spelling of 100232203020 in words is "one hundred billion, two hundred thirty-two million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1021 1110 2042 2220 3063 4084 5105 6126 10210 12252 15315 20420 30630 37777 44221 61260 75554 88442 113331 132663 151108 176884 188885 221105 226662 265326 377770 442210 453324 530652 566655 663315 755540 884420 1133310 1326630 1636177 2266620 2653260 3272354 4908531 6544708 8180885 9817062 16361770 19634124 24542655 32723540 45149641 49085310 90299282 98170620 135448923 180598564 225748205 270897846 451496410 541795692 677244615 902992820 1354489230 1670536717 2708978460 3341073434 5011610151 6682146868 8352683585 10023220302 16705367170 20046440604 25058050755 33410734340 50116101510 100232203020