Search a number
-
+
1120330001010 = 2351143109724331
BaseRepresentation
bin10000010011011000110…
…111110010101001110010
310222002202201112211021010
4100103120313302221302
5121323413440013020
62214401132011350
7143640551612343
oct20233067625162
93862681484233
101120330001010
113a2147095720
12161164300b56
138185395627c
143c31d5320ca
151e2206a4de0
hex104d8df2a72

1120330001010 has 128 divisors (see below), whose sum is σ = 3028982584320. Its totient is φ = 262844870400.

The previous prime is 1120330001009. The next prime is 1120330001059. The reversal of 1120330001010 is 101000330211.

It is a super-2 number, since 2×11203300010102 (a number of 25 digits) contains 22 as substring.

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, 1184545 + ... + 1908875.

It is an arithmetic number, because the mean of its divisors is an integer number (23663926440).

Almost surely, 21120330001010 is an apocalyptic number.

1120330001010 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 1120330001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514491292160).

1120330001010 is an abundant number, since it is smaller than the sum of its proper divisors (1908652583310).

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

1120330001010 is a wasteful number, since it uses less digits than its factorization.

1120330001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724504.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1120330001010 its reverse (101000330211), we get a palindrome (1221330331221).

The spelling of 1120330001010 in words is "one trillion, one hundred twenty billion, three hundred thirty million, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 109 110 129 165 215 218 258 327 330 430 473 545 645 654 946 1090 1199 1290 1419 1635 2365 2398 2838 3270 3597 4687 4730 5995 7095 7194 9374 11990 14061 14190 17985 23435 28122 35970 46870 51557 70305 103114 140610 154671 257785 309342 515570 724331 773355 1448662 1546710 2172993 3621655 4345986 7243310 7967641 10864965 15935282 21729930 23902923 31146233 39838205 47805846 62292466 78952079 79676410 93438699 119514615 155731165 157904158 186877398 236856237 239029230 311462330 342608563 394760395 467193495 473712474 685217126 789520790 868472869 934386990 1027825689 1184281185 1713042815 1736945738 2055651378 2368562370 2605418607 3394939397 3426085630 4342364345 5139128445 5210837214 6789878794 8684728690 10184818191 10278256890 13027093035 16974696985 20369636382 26054186070 33949393970 37344333367 50924090955 74688666734 101848181910 112033000101 186721666835 224066000202 373443333670 560165000505 1120330001010