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122210000020100 = 225228112793400399
BaseRepresentation
bin11011110010011000111011…
…101000111010001010000100
3121000201011101000201020002202
4123302120323220322022010
5112004242040001120400
61111530255435054032
734512244504333616
oct3362307350721204
9530634330636082
10122210000020100
1135a37a74004313
12118591498a1318
1353264799a6865
142226dd1b6adb6
15e1de6896b4d5
hex6f263ba3a284

122210000020100 has 72 divisors (see below), whose sum is σ = 266347619328000. Its totient is φ = 48671936812800.

The previous prime is 122210000020093. The next prime is 122210000020103. The reversal of 122210000020100 is 1020000012221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122210000020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34239701 + ... + 37640099.

Almost surely, 2122210000020100 is an apocalyptic number.

122210000020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210000020100 is an abundant number, since it is smaller than the sum of its proper divisors (144137619307900).

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

122210000020100 is a wasteful number, since it uses less digits than its factorization.

122210000020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401973 (or 3401966 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122210000020100 its reverse (1020000012221), we get a palindrome (123230000032321).

The spelling of 122210000020100 in words is "one hundred twenty-two trillion, two hundred ten billion, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1279 1405 2558 2810 5116 5620 6395 7025 12790 14050 25580 28100 31975 63950 127900 359399 718798 1437596 1796995 3400399 3593990 6800798 7187980 8984975 13601596 17001995 17969950 34003990 35939900 68007980 85009975 170019950 340039900 955512119 1911024238 3822048476 4349110321 4777560595 8698220642 9555121190 17396441284 19110242380 21745551605 23887802975 43491103210 47775605950 86982206420 95551211900 108727758025 217455516050 434911032100 1222100000201 2444200000402 4888400000804 6110500001005 12221000002010 24442000004020 30552500005025 61105000010050 122210000020100