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122113201113030 = 23523539013370483
BaseRepresentation
bin11011110000111110110001…
…111110011000011111000110
3121000100220111221111020211110
4123300332301332120133012
5112001200313441104110
61111414010302345450
734502246650236561
oct3360766176303706
9530326457436743
10122113201113030
11359aaa105a8766
1211842433b8b286
13531a2c142925a
14222244bcdb4d8
15e1b6a0798a20
hex6f0fb1f987c6

122113201113030 has 128 divisors (see below), whose sum is σ = 311619415514112. Its totient is φ = 30556549191168.

The previous prime is 122113201113019. The next prime is 122113201113047. The reversal of 122113201113030 is 30311102311221.

It is a super-2 number, since 2×1221132011130302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122113201112988 and 122113201113006.

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, 329420169 + ... + 329790651.

It is an arithmetic number, because the mean of its divisors is an integer number (2434526683704).

Almost surely, 2122113201113030 is an apocalyptic number.

122113201113030 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 122113201113030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155809707757056).

122113201113030 is an abundant number, since it is smaller than the sum of its proper divisors (189506214401082).

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

122113201113030 is a wasteful number, since it uses less digits than its factorization.

122113201113030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379582.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 122113201113030 its reverse (30311102311221), we get a palindrome (152424303424251).

The spelling of 122113201113030 in words is "one hundred twenty-two trillion, one hundred thirteen billion, two hundred one million, one hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 53 69 106 115 138 159 230 265 318 345 530 690 795 1219 1590 2438 3657 6095 7314 9013 12190 18026 18285 27039 36570 45065 54078 90130 135195 207299 270390 370483 414598 477689 621897 740966 955378 1036495 1111449 1243794 1433067 1852415 2072990 2222898 2388445 2866134 3109485 3704830 4776890 5557245 6218970 7165335 8521109 10986847 11114490 14330670 17042218 19635599 21973694 25563327 32960541 39271198 42605545 51126654 54934235 58906797 65921082 85211090 98177995 109868470 117813594 127816635 164802705 196355990 255633270 294533985 329605410 451618777 589067970 903237554 1354856331 2258093885 2709712662 3339163279 4516187770 6678326558 6774281655 10017489837 13548563310 16695816395 20034979674 33391632790 50087449185 76800755417 100174898370 153601510834 176975653787 230402266251 353951307574 384003777085 460804532502 530926961361 768007554170 884878268935 1061853922722 1152011331255 1769756537870 2304022662510 2654634806805 4070440037101 5309269613610 8140880074202 12211320111303 20352200185505 24422640222606 40704400371010 61056600556515 122113201113030