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42122011034100 = 22352569246760463
BaseRepresentation
bin10011001001111010010111…
…00000010100000111110100
312112010211021101001120221110
421210331023200110013310
521010111334311042400
6225330330145115020
711605133462163264
oct1144751340240764
9175124241046843
1042122011034100
111246a932123728
124883640328a70
131a6711c8549aa
14a58a053dd7a4
154d0a544e1e50
hex264f4b8141f4

42122011034100 has 72 divisors (see below), whose sum is σ = 122087207168640. Its totient is φ = 11212795393280.

The previous prime is 42122011034069. The next prime is 42122011034101. The reversal of 42122011034100 is 143011022124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42122011034101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123209532 + ... + 123550931.

It is an arithmetic number, because the mean of its divisors is an integer number (1695655655120).

Almost surely, 242122011034100 is an apocalyptic number.

It is an amenable number.

42122011034100 is an abundant number, since it is smaller than the sum of its proper divisors (79965196134540).

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

42122011034100 is a wasteful number, since it uses less digits than its factorization.

42122011034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246761049 (or 246761042 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 42122011034100 its reverse (143011022124), we get a palindrome (42265022056224).

The spelling of 42122011034100 in words is "forty-two trillion, one hundred twenty-two billion, eleven million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 569 1138 1707 2276 2845 3414 5690 6828 8535 11380 14225 17070 28450 34140 42675 56900 85350 170700 246760463 493520926 740281389 987041852 1233802315 1480562778 2467604630 2961125556 3701406945 4935209260 6169011575 7402813890 12338023150 14805627780 18507034725 24676046300 37014069450 74028138900 140406703447 280813406894 421220110341 561626813788 702033517235 842440220682 1404067034470 1684880441364 2106100551705 2808134068940 3510167586175 4212201103410 7020335172350 8424402206820 10530502758525 14040670344700 21061005517050 42122011034100