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4213005102 = 233294165617
BaseRepresentation
bin1111101100011101…
…0101101100101110
3101212121111211112000
43323013111230232
532112012130402
61534015153130
7206254644465
oct37307255456
911777454460
104213005102
11187214a0a9
12996b157a6
13521ab0337
142bd75d9dc
15199cecc1c
hexfb1d5b2e

4213005102 has 64 divisors (see below), whose sum is σ = 9921441600. Its totient is φ = 1322818560.

The previous prime is 4213005089. The next prime is 4213005119. The reversal of 4213005102 is 2015003124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31398 + ... + 97014.

It is an arithmetic number, because the mean of its divisors is an integer number (155022525).

Almost surely, 24213005102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213005102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960720800).

4213005102 is an abundant number, since it is smaller than the sum of its proper divisors (5708436498).

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

4213005102 is a wasteful number, since it uses less digits than its factorization.

4213005102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65698 (or 65692 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4213005102 is about 64907.6659725182. The cubic root of 4213005102 is about 1615.0922320459.

Adding to 4213005102 its reverse (2015003124), we get a palindrome (6228008226).

The spelling of 4213005102 in words is "four billion, two hundred thirteen million, five thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 29 41 54 58 82 87 123 174 246 261 369 522 738 783 1107 1189 1566 2214 2378 3567 7134 10701 21402 32103 64206 65617 131234 196851 393702 590553 1181106 1771659 1902893 2690297 3543318 3805786 5380594 5708679 8070891 11417358 16141782 17126037 24212673 34252074 48425346 51378111 72638019 78018613 102756222 145276038 156037226 234055839 468111678 702167517 1404335034 2106502551 4213005102