Search a number
-
+
10124120121032 = 2337611260144497
BaseRepresentation
bin1001001101010011010010…
…0101010101111011001000
31022211212010100010200212002
42103110310211111323020
52311333144222333112
633310542342010132
72063305064100341
oct223246445257310
938755110120762
1010124120121032
113253684967045
121176157416948
13585914b01318
1427001d7370c8
1512854199a1c2
hex93534955ec8

10124120121032 has 64 divisors (see below), whose sum is σ = 19817392550640. Its totient is φ = 4844012544000.

The previous prime is 10124120121013. The next prime is 10124120121041. The reversal of 10124120121032 is 23012102142101.

It can be written as a sum of positive squares in 8 ways, for example, as 4366068756196 + 5758051364836 = 2089514^2 + 2399594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10124120120995 and 10124120121013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227501408 + ... + 227545904.

Almost surely, 210124120121032 is an apocalyptic number.

It is an amenable number.

10124120121032 is a deficient number, since it is larger than the sum of its proper divisors (9693272429608).

10124120121032 is a wasteful number, since it uses less digits than its factorization.

10124120121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57202 (or 57198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10124120121032 its reverse (23012102142101), we get a palindrome (33136222263133).

The spelling of 10124120121032 in words is "ten trillion, one hundred twenty-four billion, one hundred twenty million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 37 61 74 122 148 244 296 488 2257 4514 9028 12601 18056 25202 44497 50404 88994 100808 177988 355976 466237 768661 932474 1537322 1646389 1864948 2714317 3074644 3292778 3729896 5428634 6149288 6585556 10857268 13171112 21714536 28440457 56880914 100429729 113761828 200859458 227523656 401718916 560706697 803437832 1121413394 2242826788 4485653576 20746147789 34203108517 41492295578 68406217034 82984591156 136812434068 165969182312 273624868136 1265515015129 2531030030258 5062060060516 10124120121032