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232021211312 = 24112534015639
BaseRepresentation
bin1101100000010110001…
…0101011100010110000
3211011212221211202112202
43120011202223202300
512300134412230222
6254331123442332
722522462520132
oct3300542534260
9734787752482
10232021211312
118a443a1a200
1238b735263a8
1318b583771a7
14b330b47052
15607e750892
hex36058ab8b0

232021211312 has 120 divisors (see below), whose sum is σ = 504791753760. Its totient is φ = 103197952000.

The previous prime is 232021211287. The next prime is 232021211353. The reversal of 232021211312 is 213112120232.

It is a super-2 number, since 2×2320212113122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41142989 + ... + 41148627.

It is an arithmetic number, because the mean of its divisors is an integer number (4206597948).

Almost surely, 2232021211312 is an apocalyptic number.

232021211312 is a gapful number since it is divisible by the number (22) 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 232021211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252395876880).

232021211312 is an abundant number, since it is smaller than the sum of its proper divisors (272770542448).

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

232021211312 is a wasteful number, since it uses less digits than its factorization.

232021211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 232021211312 its reverse (213112120232), we get a palindrome (445133331544).

The spelling of 232021211312 in words is "two hundred thirty-two billion, twenty-one million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 401 424 484 583 802 848 968 1166 1604 1936 2332 3208 4411 4664 5639 6413 6416 8822 9328 11278 12826 17644 21253 22556 25652 35288 42506 45112 48521 51304 62029 70576 85012 90224 97042 102608 124058 170024 194084 233783 248116 298867 340048 388168 467566 496232 597734 682319 776336 935132 992464 1195468 1364638 1870264 2261239 2390936 2571613 2729276 3287537 3740528 4522478 4781872 5143226 5458552 6575074 9044956 10286452 10917104 13150148 18089912 20572904 24873629 26300296 36162907 36179824 41145808 49747258 52600592 72325814 99494516 119845667 144651628 198989032 239691334 273609919 289303256 397978064 479382668 547219838 578606512 958765336 1094439676 1318302337 1917530672 2188879352 2636604674 4377758704 5273209348 10546418696 14501325707 21092837392 29002651414 58005302828 116010605656 232021211312