Search a number
-
+
122023100310 = 235173725125763
BaseRepresentation
bin111000110100100100…
…1001011111110010110
3102122221222222202101120
41301221021023332112
53444400403202220
6132020122304410
711546563145016
oct1615111137626
9378858882346
10122023100310
114782794a351
121b795358106
13b67838c047
145c97cd5c46
1532928cca40
hex1c6924bf96

122023100310 has 128 divisors (see below), whose sum is σ = 319744018944. Its totient is φ = 29677824000.

The previous prime is 122023100261. The next prime is 122023100321. The reversal of 122023100310 is 13001320221.

It is a super-2 number, since 2×1220231003102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122023100310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4723489 + ... + 4749251.

It is an arithmetic number, because the mean of its divisors is an integer number (2498000148).

Almost surely, 2122023100310 is an apocalyptic number.

122023100310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122023100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159872009472).

122023100310 is an abundant number, since it is smaller than the sum of its proper divisors (197720918634).

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

122023100310 is a wasteful number, since it uses less digits than its factorization.

122023100310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26078.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122023100310 its reverse (13001320221), we get a palindrome (135024420531).

The spelling of 122023100310 in words is "one hundred twenty-two billion, twenty-three million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 251 255 370 502 510 555 629 753 1110 1255 1258 1506 1887 2510 3145 3765 3774 4267 6290 7530 8534 9287 9435 12801 18574 18870 21335 25602 25763 27861 42670 46435 51526 55722 64005 77289 92870 128010 128815 139305 154578 157879 257630 278610 315758 386445 437971 473637 772890 789395 875942 947274 953231 1313913 1578790 1906462 2189855 2368185 2627826 2859693 4379710 4736370 4766155 5719386 6466513 6569565 9532310 12933026 13139130 14298465 16204927 19399539 28596930 32332565 32409854 38799078 48614781 64665130 81024635 96997695 97229562 109930721 162049270 193995390 219861442 239260981 243073905 329792163 478521962 486147810 549653605 659584326 717782943 1099307210 1196304905 1435565886 1648960815 2392609810 3297921630 3588914715 4067436677 7177829430 8134873354 12202310031 20337183385 24404620062 40674366770 61011550155 122023100310