Search a number
-
+
122020100110220 = 225131731890527661
BaseRepresentation
bin11011101111101000000100…
…101110001111011110001100
3121000001000012120112021120012
4123233220010232033132030
5111443134131112011340
61111303132105012352
734462442554620524
oct3357500456173614
9530030176467505
10122020100110220
1135974485500334
12118283907840b8
1353115a501a690
14221bb39224684
15e19052076565
hex6efa04b8f78c

122020100110220 has 96 divisors (see below), whose sum is σ = 301611032787456. Its totient is φ = 41035514572800.

The previous prime is 122020100110201. The next prime is 122020100110241. The reversal of 122020100110220 is 22011001020221.

It is a super-2 number, since 2×1220201001102202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122020100110195 and 122020100110204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445126811 + ... + 445400850.

It is an arithmetic number, because the mean of its divisors is an integer number (3141781591536).

Almost surely, 2122020100110220 is an apocalyptic number.

122020100110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020100110220 is an abundant number, since it is smaller than the sum of its proper divisors (179590932677236).

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

122020100110220 is a wasteful number, since it uses less digits than its factorization.

122020100110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890527731 (or 890527729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122020100110220 its reverse (22011001020221), we get a palindrome (144031101130441).

The spelling of 122020100110220 in words is "one hundred twenty-two trillion, twenty billion, one hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 31 34 52 62 65 68 85 124 130 155 170 221 260 310 340 403 442 527 620 806 884 1054 1105 1612 2015 2108 2210 2635 4030 4420 5270 6851 8060 10540 13702 27404 34255 68510 137020 890527661 1781055322 3562110644 4452638305 8905276610 11576859593 15138970237 17810553220 23153719186 27606357491 30277940474 46307438372 55212714982 57884297965 60555880948 75694851185 110425429964 115768595930 138031787455 151389702370 196806613081 231537191860 276063574910 302779404740 358882647383 393613226162 469308077347 552127149820 717765294766 787226452324 938616154694 984033065405 1435530589532 1794413236915 1877232309388 1968066130810 2346540386735 3588826473830 3936132261620 4693080773470 6101005005511 7177652947660 9386161546940 12202010011022 24404020022044 30505025027555 61010050055110 122020100110220