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213230323002120 = 23353767716788769
BaseRepresentation
bin110000011110111010001101…
…101010000110101100001000
31000221222121201211111101022220
4300132322031222012230020
5210422031200142031440
62033300354051214040
762625245116313214
oct6036721552065410
91027877654441286
10213230323002120
1161a3a521482576
121bab956b8a7320
1391c96c1521068
143a9258d015944
15199b923d288d0
hexc1ee8da86b08

213230323002120 has 128 divisors (see below), whose sum is σ = 666785585404800. Its totient is φ = 54498883608576.

The previous prime is 213230323002079. The next prime is 213230323002143. The reversal of 213230323002120 is 21200323032312.

It is a super-3 number, since 3×2132303230021203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 358096905 + ... + 358691864.

It is an arithmetic number, because the mean of its divisors is an integer number (5209262385975).

Almost surely, 2213230323002120 is an apocalyptic number.

213230323002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213230323002120 is an abundant number, since it is smaller than the sum of its proper divisors (453555262402680).

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

213230323002120 is a wasteful number, since it uses less digits than its factorization.

213230323002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716788887 (or 716788883 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213230323002120 its reverse (21200323032312), we get a palindrome (234430646034432).

The spelling of 213230323002120 in words is "two hundred thirteen trillion, two hundred thirty billion, three hundred twenty-three million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 67 74 111 120 134 148 185 201 222 268 296 335 370 402 444 536 555 670 740 804 888 1005 1110 1340 1480 1608 2010 2220 2479 2680 4020 4440 4958 7437 8040 9916 12395 14874 19832 24790 29748 37185 49580 59496 74370 99160 148740 297480 716788769 1433577538 2150366307 2867155076 3583943845 4300732614 5734310152 7167887690 8601465228 10751831535 14335775380 17202930456 21503663070 26521184453 28671550760 43007326140 48024847523 53042368906 79563553359 86014652280 96049695046 106084737812 132605922265 144074542569 159127106718 192099390092 212169475624 240124237615 265211844530 288149085138 318254213436 384198780184 397817766795 480248475230 530423689060 576298170276 636508426872 720372712845 795635533590 960496950460 1060847378120 1152596340552 1440745425690 1591271067180 1776919358351 1920993900920 2881490851380 3182542134360 3553838716702 5330758075053 5762981702760 7107677433404 8884596791755 10661516150106 14215354866808 17769193583510 21323032300212 26653790375265 35538387167020 42646064600424 53307580750530 71076774334040 106615161501060 213230323002120