Search a number
-
+
212021131230 = 23453112136961
BaseRepresentation
bin1100010101110101110…
…0011011011111011110
3202021021010011102110000
43011131130123133132
511433204402144410
6241222352355130
721214036610556
oct3053534333736
9667233142400
10212021131230
1181a10445aa7
1235111545aa6
1316cbb971c8c
14a394840166
1557ad9badc0
hex315d71b7de

212021131230 has 160 divisors (see below), whose sum is σ = 589061392128. Its totient is φ = 54662169600.

The previous prime is 212021131229. The next prime is 212021131243. The reversal of 212021131230 is 32131120212.

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 79 ways as a sum of consecutive naturals, for example, 30454950 + ... + 30461910.

Almost surely, 2212021131230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294530696064).

212021131230 is an abundant number, since it is smaller than the sum of its proper divisors (377040260898).

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

212021131230 is a wasteful number, since it uses less digits than its factorization.

212021131230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212021131230 its reverse (32131120212), we get a palindrome (244152251442).

The spelling of 212021131230 in words is "two hundred twelve billion, twenty-one million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1213 1395 1674 2426 2511 2790 3639 4185 5022 6065 6961 7278 8370 10917 12130 12555 13922 18195 20883 21834 25110 32751 34805 36390 37603 41766 54585 62649 65502 69610 75206 98253 104415 109170 112809 125298 163755 187947 188015 196506 208830 215791 225618 313245 327510 338427 375894 376030 431582 491265 563841 564045 626490 647373 676854 939735 982530 1015281 1078955 1127682 1128090 1294746 1692135 1879470 1942119 2030562 2157910 2819205 3045843 3236865 3384270 3884238 5076405 5638410 5826357 6091686 6473730 8443693 9710595 10152810 11652714 15229215 16887386 17479071 19421190 25331079 29131785 30458430 34958142 42218465 50662158 58263570 75993237 84436930 87395355 126655395 151986474 174790710 227979711 253310790 261754483 379966185 455959422 523508966 683939133 759932370 785263449 1139898555 1308772415 1367878266 1570526898 2279797110 2355790347 2617544830 3419695665 3926317245 4711580694 6839391330 7067371041 7852634490 11778951735 14134742082 21202113123 23557903470 35336855205 42404226246 70673710410 106010565615 212021131230