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2122303204040 = 235475354139371
BaseRepresentation
bin11110111000100011001…
…000001110101011001000
321111220000221220100102212
4132320203020032223020
5234232434110012130
64302550031044252
7306221436405035
oct36704310165310
97456027810385
102122303204040
11749077915218
122a3397070688
13125194976066
1474a11a5a38c
153a315288e95
hex1ee2320eac8

2122303204040 has 128 divisors (see below), whose sum is σ = 4978107486720. Its totient is φ = 813655065600.

The previous prime is 2122303204039. The next prime is 2122303204057. The reversal of 2122303204040 is 404023032212.

It is a super-3 number, since 3×21223032040403 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122303203997 and 2122303204015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53885555 + ... + 53924925.

It is an arithmetic number, because the mean of its divisors is an integer number (38891464740).

Almost surely, 22122303204040 is an apocalyptic number.

2122303204040 is a gapful number since it is divisible by the number (20) 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 2122303204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489053743360).

2122303204040 is an abundant number, since it is smaller than the sum of its proper divisors (2855804282680).

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

2122303204040 is a wasteful number, since it uses less digits than its factorization.

2122303204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40023 (or 40019 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2122303204040 its reverse (404023032212), we get a palindrome (2526326236252).

The spelling of 2122303204040 in words is "two trillion, one hundred twenty-two billion, three hundred three million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 53 94 106 188 212 235 265 376 424 470 530 541 940 1060 1082 1880 2120 2164 2491 2705 4328 4982 5410 9964 10820 12455 19928 21640 24910 25427 28673 39371 49820 50854 57346 78742 99640 101708 114692 127135 143365 157484 196855 203416 229384 254270 286730 314968 393710 508540 573460 787420 1017080 1146920 1347631 1574840 1850437 2086663 2695262 3700874 4173326 5390524 6738155 7401748 8346652 9252185 10433315 10781048 13476310 14803496 16693304 18504370 20866630 21299711 26952620 37008740 41733260 42599422 53905240 74017480 83466520 85198844 98073161 106498555 170397688 196146322 212997110 392292644 425994220 490365805 784585288 851988440 980731610 1001086417 1128884683 1961463220 2002172834 2257769366 3922926440 4004345668 4515538732 5005432085 5644423415 8008691336 9031077464 10010864170 11288846830 20021728340 22577693660 40043456680 45155387320 53057580101 106115160202 212230320404 265287900505 424460640808 530575801010 1061151602020 2122303204040