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122123101020 = 223541491101107
BaseRepresentation
bin111000110111100011…
…0101010001101011100
3102200012222011022120120
41301233012222031130
54000102003213040
6132034053514540
711552216142204
oct1615706521534
9380188138516
10122123101020
1147879341368
121b802942a50
13b693002c6b
145ca72c7404
15329b5827d0
hex1c6f1aa35c

122123101020 has 96 divisors (see below), whose sum is σ = 351001679616. Its totient is φ = 31706841600.

The previous prime is 122123101013. The next prime is 122123101057. The reversal of 122123101020 is 20101321221.

It is a super-2 number, since 2×1221231010202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1157307 + ... + 1258413.

It is an arithmetic number, because the mean of its divisors is an integer number (3656267496).

Almost surely, 2122123101020 is an apocalyptic number.

122123101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122123101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175500839808).

122123101020 is an abundant number, since it is smaller than the sum of its proper divisors (228878578596).

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

122123101020 is a wasteful number, since it uses less digits than its factorization.

122123101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101651 (or 101649 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122123101020 its reverse (20101321221), we get a palindrome (142224422241).

The spelling of 122123101020 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 491 492 615 820 982 1230 1473 1964 2455 2460 2946 4910 5892 7365 9820 14730 20131 29460 40262 60393 80524 100655 101107 120786 201310 202214 241572 301965 303321 402620 404428 505535 603930 606642 1011070 1207860 1213284 1516605 2022140 3033210 4145387 6066420 8290774 12436161 16581548 20726935 24872322 41453870 49643537 49744644 62180805 82907740 99287074 124361610 148930611 198574148 248217685 248723220 297861222 496435370 595722444 744653055 992870740 1489306110 2035385017 2978612220 4070770034 6106155051 8141540068 10176925085 12212310102 20353850170 24424620204 30530775255 40707700340 61061550510 122123101020