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100212021060 = 2235109131116969
BaseRepresentation
bin101110101010100011…
…0100001011101000100
3100120122221121010110120
41131111012201131010
53120213234133220
6114011535221540
710145230060464
oct1352506413504
9316587533416
10100212021060
1139555089718
12175089778b0
1395b07154a8
144bc9291ba4
152917b6aa40
hex17551a1744

100212021060 has 96 divisors (see below), whose sum is σ = 285331939200. Its totient is φ = 26275691520.

The previous prime is 100212021059. The next prime is 100212021061. The reversal of 100212021060 is 60120212001.

It is an interprime number because it is at equal distance from previous prime (100212021059) and next prime (100212021061).

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

It is not an unprimeable number, because it can be changed into a prime (100212021061) by changing a digit.

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, 798256 + ... + 915224.

It is an arithmetic number, because the mean of its divisors is an integer number (2972207700).

Almost surely, 2100212021060 is an apocalyptic number.

100212021060 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 100212021060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142665969600).

100212021060 is an abundant number, since it is smaller than the sum of its proper divisors (185119918140).

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

100212021060 is a wasteful number, since it uses less digits than its factorization.

100212021060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117221 (or 117219 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100212021060 its reverse (60120212001), we get a palindrome (160332233061).

The spelling of 100212021060 in words is "one hundred billion, two hundred twelve million, twenty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 131 218 262 327 393 436 524 545 654 655 786 1090 1308 1310 1572 1635 1965 2180 2620 3270 3930 6540 7860 14279 28558 42837 57116 71395 85674 116969 142790 171348 214185 233938 285580 350907 428370 467876 584845 701814 856740 1169690 1403628 1754535 2339380 3509070 7018140 12749621 15322939 25499242 30645878 38248863 45968817 50998484 61291756 63748105 76497726 76614695 91937634 127496210 152995452 153229390 183875268 191244315 229844085 254992420 306458780 382488630 459688170 764977260 919376340 1670200351 3340400702 5010601053 6680801404 8351001755 10021202106 16702003510 20042404212 25053005265 33404007020 50106010530 100212021060