Search a number
-
+
21003000102 = 23271983105701
BaseRepresentation
bin10011100011111000…
…000101100100100110
32000012201211221201200
4103203320011210212
5321003232000402
613352035103330
71342321361310
oct234370054446
960181757650
1021003000102
1189a8711927
1240a1a41b46
131c99425516
1410335b47b0
1582dd4121c
hex4e3e05926

21003000102 has 96 divisors (see below), whose sum is σ = 55404760320. Its totient is φ = 5616475200.

The previous prime is 21003000079. The next prime is 21003000131. The reversal of 21003000102 is 20100030012.

It is a happy number.

It is a super-2 number, since 2×210030001022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145852 + ... + 251552.

It is an arithmetic number, because the mean of its divisors is an integer number (577132920).

Almost surely, 221003000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27702380160).

21003000102 is an abundant number, since it is smaller than the sum of its proper divisors (34401760218).

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

21003000102 is a wasteful number, since it uses less digits than its factorization.

21003000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105818 (or 105815 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21003000102 its reverse (20100030012), we get a palindrome (41103030114).

The spelling of 21003000102 in words is "twenty-one billion, three million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 83 114 126 133 166 171 249 266 342 399 498 581 747 798 1162 1197 1494 1577 1743 2394 3154 3486 4731 5229 9462 10458 11039 14193 22078 28386 33117 66234 99351 105701 198702 211402 317103 634206 739907 951309 1479814 1902618 2008319 2219721 4016638 4439442 6024957 6659163 8773183 12049914 13318326 14058233 17546366 18074871 26319549 28116466 36149742 42174699 52639098 61412281 78958647 84349398 122824562 126524097 157917294 166690477 184236843 253048194 333380954 368473686 500071431 552710529 1000142862 1105421058 1166833339 1500214293 2333666678 3000428586 3500500017 7001000034 10501500051 21003000102