Search a number
-
+
30100032330 = 23541732711237
BaseRepresentation
bin11100000010000110…
…100000101101001010
32212200201112001221020
4130002012200231022
5443121102013310
621454444053310
72113623024204
oct340206405512
985621461836
1030100032330
1111846757885
125a00534236
132ab901a524
141657847774
15bb27d8170
hex7021a0b4a

30100032330 has 128 divisors (see below), whose sum is σ = 75353435136. Its totient is φ = 7688908800.

The previous prime is 30100032283. The next prime is 30100032337. The reversal of 30100032330 is 3323000103.

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 (30100032337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24332472 + ... + 24333708.

It is an arithmetic number, because the mean of its divisors is an integer number (588698712).

Almost surely, 230100032330 is an apocalyptic number.

30100032330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37676717568).

30100032330 is an abundant number, since it is smaller than the sum of its proper divisors (45253402806).

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

30100032330 is a wasteful number, since it uses less digits than its factorization.

30100032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632.

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 30100032330 its reverse (3323000103), we get a palindrome (33423032433).

The spelling of 30100032330 in words is "thirty billion, one hundred million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 73 82 123 146 205 219 246 271 365 410 438 542 615 730 813 1095 1230 1237 1355 1626 2190 2474 2710 2993 3711 4065 5986 6185 7422 8130 8979 11111 12370 14965 17958 18555 19783 22222 29930 33333 37110 39566 44895 50717 55555 59349 66666 89790 90301 98915 101434 111110 118698 152151 166665 180602 197830 253585 270903 296745 304302 333330 335227 451505 507170 541806 593490 670454 760755 811103 903010 1005681 1354515 1521510 1622206 1676135 2011362 2433309 2709030 3352270 3702341 4055515 4866618 5028405 7404682 8111030 10056810 11107023 12166545 13744307 18511705 22214046 24333090 24471571 27488614 37023410 41232921 48943142 55535115 68721535 73414713 82465842 111070230 122357855 137443070 146829426 206164605 244715710 367073565 412329210 734147130 1003334411 2006668822 3010003233 5016672055 6020006466 10033344110 15050016165 30100032330