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2122412222430 = 2345171014115199
BaseRepresentation
bin11110111000101001101…
…000000110011111011110
321111220022120001001120000
4132320221220012133132
5234233200012104210
64303004523435130
7306224232140643
oct36705150063736
97456276031500
102122412222430
11749123406365
122a3407685aa6
131251b1426696
1474a22317dca
153a31eb20ac0
hex1ee29a067de

2122412222430 has 160 divisors (see below), whose sum is σ = 6043625913600. Its totient is φ = 532596280320.

The previous prime is 2122412222419. The next prime is 2122412222461. The reversal of 2122412222430 is 342222142212.

2122412222430 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 1 + 2 + 222 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2122412222394 and 2122412222403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139633971 + ... + 139649169.

It is an arithmetic number, because the mean of its divisors is an integer number (37772661960).

Almost surely, 22122412222430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122412222430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021812956800).

2122412222430 is an abundant number, since it is smaller than the sum of its proper divisors (3921213691170).

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

2122412222430 is a wasteful number, since it uses less digits than its factorization.

2122412222430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25376 (or 25367 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2122412222430 its reverse (342222142212), we get a palindrome (2464634364642).

The spelling of 2122412222430 in words is "two trillion, one hundred twenty-two billion, four hundred twelve million, two hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 10141 13770 15199 20282 30398 30423 45597 50705 60846 75995 91194 91269 101410 136791 151990 152115 172397 182538 227985 258383 273582 273807 304230 344794 410373 455970 456345 516766 517191 547614 683955 775149 820746 821421 861985 912690 1034382 1231119 1291915 1367910 1369035 1550298 1551573 1642842 1723970 2051865 2325447 2462238 2583830 2585955 2738070 3103146 3875745 4103730 4107105 4650894 4654719 5171910 6155595 6976341 7751490 7757865 8214210 9309438 11627235 12311190 13952682 13964157 15515730 20929023 23254470 23273595 27928314 34881705 41858046 46547190 69763410 69820785 104645115 139641570 154133059 209290230 308266118 462399177 770665295 924798354 1387197531 1541330590 2311995885 2620262003 2774395062 4161592593 4623991770 5240524006 6935987655 7860786009 8323185186 12484777779 13101310015 13871975310 15721572018 20807962965 23582358027 24969555558 26202620030 39303930045 41615925930 47164716054 62423888895 70747074081 78607860090 117911790135 124847777790 141494148162 212241222243 235823580270 353735370405 424482444486 707470740810 1061206111215 2122412222430