Search a number
-
+
122311121011230 = 235171079973224743
BaseRepresentation
bin11011110011110111000110…
…111010111000001000011110
3121001001211101022200211002110
4123303313012322320020132
5112012421133434324410
61112044541524534450
734522454412513054
oct3363670672701036
9531054338624073
10122311121011230
1135a76945191668
121187486ab51426
135332b73806558
14222bc65a321d4
15e218d62d6720
hex6f3dc6eb821e

122311121011230 has 128 divisors (see below), whose sum is σ = 313751800747008. Its totient is φ = 30407614175232.

The previous prime is 122311121011223. The next prime is 122311121011273. The reversal of 122311121011230 is 32110121113221.

It is a super-2 number, since 2×1223111210112302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122311121011197 and 122311121011206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544114239 + ... + 544338981.

It is an arithmetic number, because the mean of its divisors is an integer number (2451185943336).

Almost surely, 2122311121011230 is an apocalyptic number.

122311121011230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122311121011230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156875900373504).

122311121011230 is an abundant number, since it is smaller than the sum of its proper divisors (191440679735778).

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

122311121011230 is a wasteful number, since it uses less digits than its factorization.

122311121011230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234850.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 122311121011230 its reverse (32110121113221), we get a palindrome (154421242124451).

The spelling of 122311121011230 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred twenty-one million, eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 107 170 214 255 321 510 535 642 1070 1605 1819 3210 3638 5457 9095 9973 10914 18190 19946 27285 29919 49865 54570 59838 99730 149595 169541 224743 299190 339082 449486 508623 674229 847705 1017246 1067111 1123715 1348458 1695410 2134222 2247430 2543115 3201333 3371145 3820631 5086230 5335555 6402666 6742290 7641262 10671110 11461893 16006665 18140887 19103155 22923786 24047501 32013330 36281774 38206310 48095002 54422661 57309465 72142503 90704435 108845322 114618930 120237505 144285006 181408870 240475010 272113305 360712515 408807517 544226610 721425030 817615034 1226422551 2044037585 2241361939 2452845102 4088075170 4482723878 6132112755 6724085817 11206809695 12264225510 13448171634 22413619390 33620429085 38103152963 67240858170 76206305926 114309458889 190515764815 228618917778 239825727473 381031529630 479651454946 571547294445 719477182419 1143094588890 1199128637365 1438954364838 2398257274730 3597385912095 4077037367041 7194771824190 8154074734082 12231112101123 20385186835205 24462224202246 40770373670410 61155560505615 122311121011230