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213001308 = 223213676793
BaseRepresentation
bin11001011001000…
…10010001011100
3112211210120212100
430230202101130
5414012020213
633045205100
75164324032
oct1454422134
9484716770
10213001308
11aa263043
125b400790
1335189ca0
1420408552
1513a76773
hexcb2245c

213001308 has 72 divisors (see below), whose sum is σ = 588577808. Its totient is φ = 64551168.

The previous prime is 213001303. The next prime is 213001363. The reversal of 213001308 is 803100312.

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 (213001303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27960 + ... + 34752.

Almost surely, 2213001308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213001308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294288904).

213001308 is an abundant number, since it is smaller than the sum of its proper divisors (375576500).

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

213001308 is a wasteful number, since it uses less digits than its factorization.

213001308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213001308 is about 14594.5643305993. The cubic root of 213001308 is about 597.2104844367.

The spelling of 213001308 in words is "two hundred thirteen million, one thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 5226 6793 7839 10452 13586 15678 20379 27172 31356 40758 61137 81516 88309 122274 176618 244548 264927 353236 455131 529854 794781 910262 1059708 1365393 1589562 1820524 2730786 3179124 4096179 5461572 5916703 8192358 11833406 16384716 17750109 23666812 35500218 53250327 71000436 106500654 213001308