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30320212010100 = 22352412671922897
BaseRepresentation
bin1101110010011011110010…
…11101110110010001110100
310222100120202201002021122220
412321031321131312101310
512433231243233310400
6144252525121522340
76246364055513655
oct671157135662164
9128316681067586
1030320212010100
11972a803262731
1234983157a33b0
1313bc25084653c
1476b712a0152c
15378a71b317a0
hex1b9379776474

30320212010100 has 144 divisors (see below), whose sum is σ = 89899892871936. Its totient is φ = 7885223424000.

The previous prime is 30320212010051. The next prime is 30320212010149. The reversal of 30320212010100 is 101021202303.

It is an interprime number because it is at equal distance from previous prime (30320212010051) and next prime (30320212010149).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30320212010100.

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, 32391852 + ... + 33314748.

Almost surely, 230320212010100 is an apocalyptic number.

30320212010100 is a gapful number since it is divisible by the number (30) 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 30320212010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44949946435968).

30320212010100 is an abundant number, since it is smaller than the sum of its proper divisors (59579680861836).

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

30320212010100 is a wasteful number, since it uses less digits than its factorization.

30320212010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925626 (or 925619 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30320212010100 its reverse (101021202303), we get a palindrome (30421233212403).

The spelling of 30320212010100 in words is "thirty trillion, three hundred twenty billion, two hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 2671 3075 4100 5342 6150 8013 10684 12300 13355 16026 26710 32052 40065 53420 66775 80130 109511 133550 160260 200325 219022 267100 328533 400650 438044 547555 657066 801300 922897 1095110 1314132 1642665 1845794 2190220 2737775 2768691 3285330 3691588 4614485 5475550 5537382 6570660 8213325 9228970 10951100 11074764 13843455 16426650 18457940 23072425 27686910 32853300 37838777 46144850 55373820 69217275 75677554 92289700 113516331 138434550 151355108 189193885 227032662 276869100 378387770 454065324 567581655 756775540 945969425 1135163310 1891938850 2270326620 2465057887 2837908275 3783877700 4930115774 5675816550 7395173661 9860231548 11351633100 12325289435 14790347322 24650578870 29580694644 36975868305 49301157740 61626447175 73951736610 101067373367 123252894350 147903473220 184879341525 202134746734 246505788700 303202120101 369758683050 404269493468 505336866835 606404240202 739517366100 1010673733670 1212808480404 1516010600505 2021347467340 2526684334175 3032021201010 5053368668350 6064042402020 7580053002525 10106737336700 15160106005050 30320212010100