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122000100 = 223522937379
BaseRepresentation
bin1110100010110…
…01001011100100
322111120020200020
413101121023210
5222213000400
620034515140
73010661265
oct721311344
9274506606
10122000100
1162958532
1234a35ab0
131c377411
14122ba96c
15aa9d2a0
hex74592e4

122000100 has 144 divisors (see below), whose sum is σ = 376017600. Its totient is φ = 30481920.

The previous prime is 122000077. The next prime is 122000107. The reversal of 122000100 is 1000221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321711 + ... + 322089.

Almost surely, 2122000100 is an apocalyptic number.

122000100 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 122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188008800).

122000100 is an abundant number, since it is smaller than the sum of its proper divisors (254017500).

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

122000100 is a wasteful number, since it uses less digits than its factorization.

122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 122000100 is about 11045.3655439736. The cubic root of 122000100 is about 495.9677018945.

Adding to 122000100 its reverse (1000221), we get a palindrome (123000321).

The spelling of 122000100 in words is "one hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 37 50 58 60 74 75 87 100 111 116 145 148 150 174 185 222 290 300 348 370 379 435 444 555 580 725 740 758 870 925 1073 1110 1137 1450 1516 1740 1850 1895 2146 2175 2220 2274 2775 2900 3219 3700 3790 4292 4350 4548 5365 5550 5685 6438 7580 8700 9475 10730 10991 11100 11370 12876 14023 16095 18950 21460 21982 22740 26825 28046 28425 32190 32973 37900 42069 43964 53650 54955 56092 56850 64380 65946 70115 80475 84138 107300 109910 113700 131892 140230 160950 164865 168276 210345 219820 274775 280460 321900 329730 350575 406667 420690 549550 659460 701150 813334 824325 841380 1051725 1099100 1220001 1402300 1626668 1648650 2033335 2103450 2440002 3297300 4066670 4206900 4880004 6100005 8133340 10166675 12200010 20333350 24400020 30500025 40666700 61000050 122000100