Search a number
-
+
311300001201222 = 2321119101638142137
BaseRepresentation
bin100011011001000000010110…
…1111111010111110001000110
31111211012222201022210022200100
41012302000231333113301012
5311300314400301414342
63022025125110424530
7122366453142051135
oct10662005577276106
91454188638708610
10311300001201222
119020a653116180
122aab8038662146
1310491605988447
1456c300134391c
1525ec962862e4c
hex11b202dfd7c46

311300001201222 has 96 divisors (see below), whose sum is σ = 774602624315520. Its totient is φ = 89359616914560.

The previous prime is 311300001201209. The next prime is 311300001201271. The reversal of 311300001201222 is 222102100003113.

311300001201222 is a `hidden beast` number, since 311 + 300 + 0 + 0 + 1 + 20 + 12 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311300001201195 and 311300001201204.

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, 34162138 + ... + 42304274.

It is an arithmetic number, because the mean of its divisors is an integer number (8068777336620).

Almost surely, 2311300001201222 is an apocalyptic number.

311300001201222 is an abundant number, since it is smaller than the sum of its proper divisors (463302623114298).

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

311300001201222 is a wasteful number, since it uses less digits than its factorization.

311300001201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152338 (or 8152335 counting only the distinct ones).

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

Adding to 311300001201222 its reverse (222102100003113), we get a palindrome (533402101204335).

The spelling of 311300001201222 in words is "three hundred eleven trillion, three hundred billion, one million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 10163 20326 30489 60978 91467 111793 182934 193097 223586 335379 386194 579291 670758 1006137 1158582 1737873 2012274 2124067 3475746 4248134 6372201 8142137 12744402 16284274 19116603 24426411 38233206 48852822 73279233 89563507 146558466 154700603 179127014 268690521 309401206 464101809 537381042 806071563 928203618 1392305427 1612143126 1701706633 2784610854 3403413266 5105119899 10210239798 15315359697 30630719394 82748538331 165497076662 248245614993 496491229986 744736844979 910233921641 1489473689958 1572222228289 1820467843282 2730701764923 3144444456578 4716666684867 5461403529846 8192105294769 9433333369734 14150000054601 16384210589538 17294444511179 28300000109202 34588889022358 51883333533537 103766667067074 155650000600611 311300001201222