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122033000100 = 223521136979697
BaseRepresentation
bin111000110100110111…
…0111100111010100100
3102122222200121201100110
41301221232330322210
53444410422000400
6132021114413020
711550043246254
oct1615156747244
9378880551313
10122033000100
11478324a11a0
121b798731170
13b67a4470cb
145c99351964
1532936d5e50
hex1c69bbcea4

122033000100 has 72 divisors (see below), whose sum is σ = 385180534368. Its totient is φ = 29583756800.

The previous prime is 122033000081. The next prime is 122033000137. The reversal of 122033000100 is 1000330221.

It is a happy number.

It is a super-2 number, since 2×1220330001002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18486549 + ... + 18493148.

It is an arithmetic number, because the mean of its divisors is an integer number (5349729644).

Almost surely, 2122033000100 is an apocalyptic number.

122033000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122033000100 is an abundant number, since it is smaller than the sum of its proper divisors (263147534268).

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

122033000100 is a wasteful number, since it uses less digits than its factorization.

122033000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36979725 (or 36979718 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 122033000100 its reverse (1000330221), we get a palindrome (123033330321).

The spelling of 122033000100 in words is "one hundred twenty-two billion, thirty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 36979697 73959394 110939091 147918788 184898485 221878182 369796970 406776667 443756364 554695455 739593940 813553334 924492425 1109390910 1220330001 1627106668 1848984850 2033883335 2218781820 2440660002 2773477275 3697969700 4067766670 4881320004 5546954550 6101650005 8135533340 10169416675 11093909100 12203300010 20338833350 24406600020 30508250025 40677666700 61016500050 122033000100