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122103142230 = 235191733973119
BaseRepresentation
bin111000110110111101…
…0100001011101010110
3102200011120121022021010
41301231322201131112
54000031401022410
6132032102033050
711551554404256
oct1615572413526
9380146538233
10122103142230
1147869049aa3
121b7b8118786
13b68bb35524
145ca47ad966
15329993dc20
hex1c6dea1756

122103142230 has 128 divisors (see below), whose sum is σ = 311135385600. Its totient is φ = 30581743104.

The previous prime is 122103142207. The next prime is 122103142241. The reversal of 122103142230 is 32241301221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122103142197 and 122103142206.

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, 39146611 + ... + 39149729.

It is an arithmetic number, because the mean of its divisors is an integer number (2430745200).

Almost surely, 2122103142230 is an apocalyptic number.

122103142230 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 122103142230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155567692800).

122103142230 is an abundant number, since it is smaller than the sum of its proper divisors (189032243370).

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

122103142230 is a wasteful number, since it uses less digits than its factorization.

122103142230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122103142230 its reverse (32241301221), we get a palindrome (154344443451).

The spelling of 122103142230 in words is "one hundred twenty-two billion, one hundred three million, one hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 173 190 285 346 397 519 570 794 865 1038 1191 1730 1985 2382 2595 3119 3287 3970 5190 5955 6238 6574 7543 9357 9861 11910 15086 15595 16435 18714 19722 22629 31190 32870 37715 45258 46785 49305 59261 68681 75430 93570 98610 113145 118522 137362 177783 206043 226290 296305 343405 355566 412086 539587 592610 686810 888915 1030215 1079174 1238243 1304939 1618761 1777830 2060430 2476486 2609878 2697935 3237522 3714729 3914817 5395870 6191215 6524695 7429458 7829634 8093805 10252153 12382430 13049390 16187610 18573645 19574085 20504306 23526617 30756459 37147290 39148170 47053234 51260765 61512918 70579851 102521530 117633085 141159702 153782295 214216039 235266170 307564590 352899255 428432078 642648117 705798510 1071080195 1285296234 2142160390 3213240585 4070104741 6426481170 8140209482 12210314223 20350523705 24420628446 40701047410 61051571115 122103142230