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20123140400034 = 23722322971913049
BaseRepresentation
bin1001001001101010010001…
…01000101010001110100010
32122020202100020211222010120
410210311020220222032202
510114144142420300114
6110444235412141110
74144564115114340
oct444651050521642
978222306758116
1020123140400034
1164591a3168191
12230bbbb007796
13b2c7b0c9ca79
144d7d726b6990
1524d6b08b55a9
hex124d48a2a3a2

20123140400034 has 128 divisors (see below), whose sum is σ = 46471864320000. Its totient is φ = 5690330085888.

The previous prime is 20123140399963. The next prime is 20123140400039. The reversal of 20123140400034 is 43000404132102.

It is a junction number, because it is equal to n+sod(n) for n = 20123140399977 and 20123140400013.

It is not an unprimeable number, because it can be changed into a prime (20123140400039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1542114742 + ... + 1542127790.

It is an arithmetic number, because the mean of its divisors is an integer number (363061440000).

Almost surely, 220123140400034 is an apocalyptic number.

20123140400034 is an abundant number, since it is smaller than the sum of its proper divisors (26348723919966).

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

20123140400034 is a wasteful number, since it uses less digits than its factorization.

20123140400034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14232.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20123140400034 its reverse (43000404132102), we get a palindrome (63123544532136).

The spelling of 20123140400034 in words is "twenty trillion, one hundred twenty-three billion, one hundred forty million, four hundred thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 223 229 446 458 669 687 719 1338 1374 1438 1561 1603 2157 3122 3206 4314 4683 4809 5033 9366 9618 10066 13049 15099 26098 30198 39147 51067 78294 91343 102134 153201 160337 164651 182686 274029 306402 320674 329302 357469 481011 493953 548058 714938 962022 987906 1072407 1122359 1152557 2144814 2244718 2305114 2909927 2988221 3367077 3457671 5819854 5976442 6734154 6915342 8729781 8964663 9382231 17459562 17929326 18764462 20369489 20917547 28146693 36717173 40738978 41835094 56293386 61108467 62752641 65675617 73434346 110151519 122216934 125505282 131351234 197026851 220303038 257020211 394053702 514040422 666373283 771060633 1332746566 1542121266 1999119849 2092237513 2148530899 3998239698 4184475026 4297061798 4664612981 6276712539 6445592697 9329225962 12553425078 12891185394 13993838943 14645662591 15039716293 27987677886 29291325182 30079432586 43936987773 45119148879 87873975546 90238297758 479122390477 958244780954 1437367171431 2874734342862 3353856733339 6707713466678 10061570200017 20123140400034