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21014034030 = 23251173928723
BaseRepresentation
bin10011100100100010…
…001011011001101110
32000020111121112102200
4103210202023121232
5321014043042110
613353111402330
71342514225223
oct234442133156
960214545380
1021014034030
118a03968880
1240a56833a6
131c9b7b9882
141034c4794a
1582ecc06c0
hex4e488b66e

21014034030 has 96 divisors (see below), whose sum is σ = 59686174080. Its totient is φ = 5087240640.

The previous prime is 21014034023. The next prime is 21014034037. The reversal of 21014034030 is 3043041012.

It is an interprime number because it is at equal distance from previous prime (21014034023) and next prime (21014034037).

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

It is a junction number, because it is equal to n+sod(n) for n = 21014033994 and 21014034012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21014034037) 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 47 ways as a sum of consecutive naturals, for example, 717249 + ... + 745971.

It is an arithmetic number, because the mean of its divisors is an integer number (621730980).

Almost surely, 221014034030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21014034030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29843087040).

21014034030 is an abundant number, since it is smaller than the sum of its proper divisors (38672140050).

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

21014034030 is a wasteful number, since it uses less digits than its factorization.

21014034030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29486 (or 29483 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21014034030 its reverse (3043041012), we get a palindrome (24057075042).

The spelling of 21014034030 in words is "twenty-one billion, fourteen million, thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 739 990 1478 2217 3695 4434 6651 7390 8129 11085 13302 16258 22170 24387 28723 33255 40645 48774 57446 66510 73161 81290 86169 121935 143615 146322 172338 243870 258507 287230 315953 365805 430845 517014 631906 731610 861690 947859 1292535 1579765 1895718 2585070 2843577 3159530 4739295 5687154 9478590 14217885 21226297 28435770 42452594 63678891 106131485 127357782 191036673 212262970 233489267 318394455 382073346 466978534 636788910 700467801 955183365 1167446335 1400935602 1910366730 2101403403 2334892670 3502339005 4202806806 7004678010 10507017015 21014034030