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100222212330 = 23351073469097
BaseRepresentation
bin101110101010110110…
…1011001100011101010
3100120200122202220021000
41131111231121203222
53120223341243310
6114012541455430
710145412514602
oct1352555314352
9316618686230
10100222212330
113955a90a559
1217510271576
1395b2873126
144bca785c02
1529189d04c0
hex1755b598ea

100222212330 has 64 divisors (see below), whose sum is σ = 269757060480. Its totient is φ = 26476140672.

The previous prime is 100222212313. The next prime is 100222212331. The reversal of 100222212330 is 33212222001.

100222212330 is a `hidden beast` number, since 100 + 2 + 22 + 212 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100222212331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705659 + ... + 1763438.

It is an arithmetic number, because the mean of its divisors is an integer number (4214954070).

Almost surely, 2100222212330 is an apocalyptic number.

100222212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100222212330 is an abundant number, since it is smaller than the sum of its proper divisors (169534848150).

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

100222212330 is a wasteful number, since it uses less digits than its factorization.

100222212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469220 (or 3469214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100222212330 its reverse (33212222001), we get a palindrome (133434434331).

The spelling of 100222212330 in words is "one hundred billion, two hundred twenty-two million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1605 1926 2889 3210 4815 5778 9630 14445 28890 3469097 6938194 10407291 17345485 20814582 31221873 34690970 52036455 62443746 93665619 104072910 156109365 187331238 312218730 371193379 468328095 742386758 936656190 1113580137 1855966895 2227160274 3340740411 3711933790 5567900685 6681480822 10022221233 11135801370 16703702055 20044442466 33407404110 50111106165 100222212330