Search a number
-
+
213222312321320 = 235196736371151333
BaseRepresentation
bin110000011110110010110000…
…001011110010000100101000
31000221221212001112222122010102
4300132302300023302010220
5210421413243423240240
62033252551130404532
762624542445536541
oct6036626013620450
91027855045878112
10213222312321320
1161a3709067a515
121bab7ab4b90748
1391c8a15a0b553
143a9202d16b4c8
15199b60591d815
hexc1ecb02f2128

213222312321320 has 128 divisors (see below), whose sum is σ = 512678898460800. Its totient is φ = 79572109833216.

The previous prime is 213222312321299. The next prime is 213222312321427. The reversal of 213222312321320 is 23123213222312.

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, 184620374 + ... + 185771706.

It is an arithmetic number, because the mean of its divisors is an integer number (4005303894225).

Almost surely, 2213222312321320 is an apocalyptic number.

213222312321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213222312321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256339449230400).

213222312321320 is an abundant number, since it is smaller than the sum of its proper divisors (299456586139480).

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

213222312321320 is a wasteful number, since it uses less digits than its factorization.

213222312321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155067 (or 1155063 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 213222312321320 its reverse (23123213222312), we get a palindrome (236345525543632).

The spelling of 213222312321320 in words is "two hundred thirteen trillion, two hundred twenty-two billion, three hundred twelve million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 670 760 1273 1340 2546 2680 3637 5092 6365 7274 10184 12730 14548 18185 25460 29096 36370 50920 69103 72740 138206 145480 243679 276412 345515 487358 552824 691030 974716 1151333 1218395 1382060 1949432 2302666 2436790 2764120 4605332 4629901 4873580 5756665 9210664 9259802 9747160 11513330 18519604 21875327 23026660 23149505 37039208 43750654 46053320 46299010 77139311 87501308 92598020 109376635 154278622 175002616 185196040 218753270 308557244 385696555 437506540 617114488 771393110 875013080 1465646909 1542786220 2931293818 3085572440 4187398121 5862587636 7328234545 8374796242 11725175272 14656469090 16749592484 20936990605 29312938180 33499184968 41873981210 58625876360 79560564299 83747962420 159121128598 167495924840 280555674107 318242257196 397802821495 561111348214 636484514392 795605642990 1122222696428 1402778370535 1591211285980 2244445392856 2805556741070 3182422571960 5330557808033 5611113482140 10661115616066 11222226964280 21322231232132 26652789040165 42644462464264 53305578080330 106611156160660 213222312321320