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122103331201302 = 231119197503982643
BaseRepresentation
bin11011110000110101100101…
…101011101010000100010110
3121000022222001002111210021020
4123300311211223222010112
5112001020110241420202
61111405255044102010
734501450242333663
oct3360654553520426
9530288032453236
10122103331201302
11359a6806265a20
121184053a694906
1353193aa6887b9
142221b9315ca6a
15e1b2c40355bc
hex6f0d65aea116

122103331201302 has 128 divisors (see below), whose sum is σ = 282412828938240. Its totient is φ = 34806280199040.

The previous prime is 122103331201211. The next prime is 122103331201307. The reversal of 122103331201302 is 203102133301221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103331201307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123768793 + ... + 124751435.

It is an arithmetic number, because the mean of its divisors is an integer number (2206350226080).

Almost surely, 2122103331201302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122103331201302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141206414469120).

122103331201302 is an abundant number, since it is smaller than the sum of its proper divisors (160309497736938).

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

122103331201302 is a wasteful number, since it uses less digits than its factorization.

122103331201302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983378.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122103331201302 its reverse (203102133301221), we get a palindrome (325205464502523).

The spelling of 122103331201302 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred thirty-one million, two hundred one thousand, three hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 197 209 394 418 503 591 627 1006 1182 1254 1509 2167 3018 3743 4334 5533 6501 7486 9557 11066 11229 13002 16599 19114 22458 28671 33198 41173 57342 82346 99091 105127 123519 198182 210254 247038 297273 315381 594546 630762 982643 1090001 1882729 1965286 2180002 2947929 3270003 3765458 5648187 5895858 6540006 10809073 11296374 18670217 20710019 21618146 32427219 37340434 41420038 56010651 62130057 64854438 112021302 124260114 193580671 205372387 387161342 410744774 494269429 580742013 616117161 988538858 1161484026 1232234322 1482808287 2129387381 2965616574 3678032749 4258774762 5436963719 6388162143 7356065498 9391119151 10873927438 11034098247 12776324286 16310891157 18782238302 22068196494 28173357453 32621782314 40458360239 56346714906 80916720478 97371077513 103302310661 121375080717 194742155026 206604621322 242750161434 292113232539 309906931983 584226465078 619813863966 1071081852643 1850050472747 2142163705286 3213245557929 3700100945494 5550151418241 6426491115858 11100302836482 20350555200217 40701110400434 61051665600651 122103331201302