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342111022100 = 22525971816689
BaseRepresentation
bin1001111101001110110…
…01111110110000010100
31012201001022020121011022
410332213121332300110
521101120410201400
6421055202300312
733500554464461
oct4764731766024
91181038217138
10342111022100
111220a7831501
1256378357698
132635135ab73
14127b5c28668
158d74688b85
hex4fa767ec14

342111022100 has 72 divisors (see below), whose sum is σ = 765597873600. Its totient is φ = 132630131200.

The previous prime is 342111022079. The next prime is 342111022139. The reversal of 342111022100 is 1220111243.

It is a congruent number.

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, 10556 + ... + 827244.

It is an arithmetic number, because the mean of its divisors is an integer number (10633303800).

Almost surely, 2342111022100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342111022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382798936800).

342111022100 is an abundant number, since it is smaller than the sum of its proper divisors (423486851500).

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

342111022100 is a wasteful number, since it uses less digits than its factorization.

342111022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816833 (or 816826 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 342111022100 its reverse (1220111243), we get a palindrome (343331133343).

The spelling of 342111022100 in words is "three hundred forty-two billion, one hundred eleven million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 71 100 118 142 236 284 295 355 590 710 1180 1420 1475 1775 2950 3550 4189 5900 7100 8378 16756 20945 41890 83780 104725 209450 418900 816689 1633378 3266756 4083445 8166890 16333780 20417225 40834450 48184651 57984919 81668900 96369302 115969838 192738604 231939676 240923255 289924595 481846510 579849190 963693020 1159698380 1204616275 1449622975 2409232550 2899245950 3421110221 4818465100 5798491900 6842220442 13684440884 17105551105 34211102210 68422204420 85527755525 171055511050 342111022100