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21101232330 = 23254719325847
BaseRepresentation
bin10011101001101110…
…110100000011001010
32000110120200200000100
4103221232310003022
5321203403413310
613405504350230
71344623341533
oct235156640312
960416620010
1021101232330
118a49106192
12410a915376
131cb389a4b9
14104266568a
15837796ec0
hex4e9bb40ca

21101232330 has 96 divisors (see below), whose sum is σ = 56322998784. Its totient is φ = 5478524928.

The previous prime is 21101232281. The next prime is 21101232343. The reversal of 21101232330 is 3323210112.

21101232330 is a `hidden beast` number, since 2 + 1 + 101 + 232 + 330 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 803467 + ... + 829313.

It is an arithmetic number, because the mean of its divisors is an integer number (586697904).

Almost surely, 221101232330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161499392).

21101232330 is an abundant number, since it is smaller than the sum of its proper divisors (35221766454).

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

21101232330 is a wasteful number, since it uses less digits than its factorization.

21101232330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26100 (or 26097 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21101232330 its reverse (3323210112), we get a palindrome (24424442442).

It can be divided in two parts, 211012 and 32330, that added together give a palindrome (243342).

The spelling of 21101232330 in words is "twenty-one billion, one hundred one million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 193 235 282 386 423 470 579 705 846 965 1158 1410 1737 1930 2115 2895 3474 4230 5790 8685 9071 17370 18142 25847 27213 45355 51694 54426 77541 81639 90710 129235 136065 155082 163278 232623 258470 272130 387705 408195 465246 775410 816390 1163115 1214809 2326230 2429618 3644427 4988471 6074045 7288854 9976942 10933281 12148090 14965413 18222135 21866562 24942355 29930826 36444270 44896239 49884710 54666405 74827065 89792478 109332810 149654130 224481195 234458137 448962390 468916274 703374411 1172290685 1406748822 2110123233 2344581370 3516872055 4220246466 7033744110 10550616165 21101232330