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213303002004 = 2232174119144507
BaseRepresentation
bin1100011010100111011…
…0011000001110010100
3202101120110020012120100
43012221312120032110
511443321032031004
6241553503334100
721260563413261
oct3065166301624
9671513205510
10213303002004
1182508a90534
123540a8b1330
13171644001b1
14a476ba2268
1558362c9739
hex31a9d98394

213303002004 has 144 divisors (see below), whose sum is σ = 587898694656. Its totient is φ = 64943155200.

The previous prime is 213303001993. The next prime is 213303002039. The reversal of 213303002004 is 400200303312.

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 47 ways as a sum of consecutive naturals, for example, 4770319 + ... + 4814825.

It is an arithmetic number, because the mean of its divisors is an integer number (4082629824).

Almost surely, 2213303002004 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 213303002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293949347328).

213303002004 is an abundant number, since it is smaller than the sum of its proper divisors (374595692652).

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

213303002004 is a wasteful number, since it uses less digits than its factorization.

213303002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44766 (or 44761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213303002004 its reverse (400200303312), we get a palindrome (613503305316).

The spelling of 213303002004 in words is "two hundred thirteen billion, three hundred three million, two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 191 204 246 306 369 382 492 573 612 697 738 764 1146 1394 1476 1719 2091 2292 2788 3247 3438 4182 6273 6494 6876 7831 8364 9741 12546 12988 15662 19482 23493 25092 29223 31324 38964 44507 46986 58446 70479 89014 93972 116892 133127 133521 140958 178028 266254 267042 281916 399381 400563 532508 534084 756619 798762 801126 1198143 1513238 1597524 1602252 1824787 2269857 2396286 3026476 3649574 4539714 4792572 5474361 6809571 7299148 8500837 9079428 10948722 13619142 16423083 17001674 21897444 25502511 27238284 31021379 32846166 34003348 51005022 62042758 65692332 76507533 93064137 102010044 124085516 144514229 153015066 186128274 279192411 289028458 306030132 348534317 372256548 433542687 558384822 578056916 697068634 867085374 1045602951 1116769644 1300628061 1394137268 1734170748 2091205902 2601256122 3136808853 4182411804 5202512244 5925083389 6273617706 11850166778 12547235412 17775250167 23700333556 35550500334 53325750501 71101000668 106651501002 213303002004