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100212102330 = 2354727332063
BaseRepresentation
bin101110101010100011…
…0110101010010111010
3100120122221202020221120
41131111012311102322
53120213244233310
6114011541050110
710145230546434
oct1352506652272
9316587666846
10100212102330
113955513478a
12175089b6936
1395b0743492
144bc92b3654
152917b84b70
hex17551b54ba

100212102330 has 96 divisors (see below), whose sum is σ = 246189659904. Its totient is φ = 26106305664.

The previous prime is 100212102317. The next prime is 100212102343. The reversal of 100212102330 is 33201212001.

It is an interprime number because it is at equal distance from previous prime (100212102317) and next prime (100212102343).

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

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, 48574879 + ... + 48576941.

It is an arithmetic number, because the mean of its divisors is an integer number (2564475624).

Almost surely, 2100212102330 is an apocalyptic number.

100212102330 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 100212102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123094829952).

100212102330 is an abundant number, since it is smaller than the sum of its proper divisors (145977557574).

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

100212102330 is a wasteful number, since it uses less digits than its factorization.

100212102330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2853 counting only the distinct ones).

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

Adding to 100212102330 its reverse (33201212001), we get a palindrome (133413314331).

The spelling of 100212102330 in words is "one hundred billion, two hundred twelve million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 733 1410 1466 2063 2199 2209 3665 4126 4398 4418 6189 6627 7330 10315 10995 11045 12378 13254 20630 21990 22090 30945 33135 34451 61890 66270 68902 96961 103353 172255 193922 206706 290883 344510 484805 516765 581766 969610 1033530 1454415 1512179 1619197 2908830 3024358 3238394 4536537 4557167 4857591 7560895 8095985 9073074 9114334 9715182 13671501 15121790 16191970 22682685 22785835 24287955 27343002 45365370 45571670 48575910 68357505 71072413 136715010 142144826 213217239 355362065 426434478 710724130 1066086195 2132172390 3340403411 6680806822 10021210233 16702017055 20042420466 33404034110 50106051165 100212102330