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30233042100 = 22335213980557
BaseRepresentation
bin11100001010000001…
…111001110010110100
32220000222210200001000
4130022001321302310
5443404124321400
621515555003300
72120126421612
oct341201716264
986028720030
1030233042100
1111904845008
125a38b99530
132b0a74ac31
14166b38c6b2
15bbe30d600
hex70a079cb4

30233042100 has 144 divisors (see below), whose sum is σ = 97894081600. Its totient is φ = 8004044160.

The previous prime is 30233042089. The next prime is 30233042107. The reversal of 30233042100 is 124033203.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30233042107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335022 + ... + 415578.

Almost surely, 230233042100 is an apocalyptic number.

30233042100 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 30233042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48947040800).

30233042100 is an abundant number, since it is smaller than the sum of its proper divisors (67661039500).

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

30233042100 is a wasteful number, since it uses less digits than its factorization.

30233042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80719 (or 80706 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30233042100 its reverse (124033203), we get a palindrome (30357075303).

The spelling of 30233042100 in words is "thirty billion, two hundred thirty-three million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 139 150 180 225 270 278 300 417 450 540 556 675 695 834 900 1251 1350 1390 1668 2085 2502 2700 2780 3475 3753 4170 5004 6255 6950 7506 8340 10425 12510 13900 15012 18765 20850 25020 31275 37530 41700 62550 75060 80557 93825 125100 161114 187650 241671 322228 375300 402785 483342 725013 805570 966684 1208355 1450026 1611140 2013925 2175039 2416710 2900052 3625065 4027850 4350078 4833420 6041775 7250130 8055700 8700156 10875195 11197423 12083550 14500260 18125325 21750390 22394846 24167100 33592269 36250650 43500780 44789692 54375975 55987115 67184538 72501300 100776807 108751950 111974230 134369076 167961345 201553614 217503900 223948460 279935575 302330421 335922690 403107228 503884035 559871150 604660842 671845380 839806725 1007768070 1119742300 1209321684 1511652105 1679613450 2015536140 2519420175 3023304210 3359226900 5038840350 6046608420 7558260525 10077680700 15116521050 30233042100