Search a number
-
+
10233001230012 = 22331126332751473
BaseRepresentation
bin1001010011101000111001…
…1001110011111010111100
31100020021011110011010022000
42110322032121303322330
52320124141303330022
633432550442022300
72104211211205011
oct224721631637274
940207143133260
1010233001230012
113295878469830
1211932834a7990
13592c77564b22
142753cc0a1708
1512b2b57296ac
hex94e8e673ebc

10233001230012 has 96 divisors (see below), whose sum is σ = 29051867496960. Its totient is φ = 3089118839040.

The previous prime is 10233001229963. The next prime is 10233001230037. The reversal of 10233001230012 is 21003210033201.

10233001230012 is a `hidden beast` number, since 10 + 2 + 330 + 0 + 12 + 300 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16063293 + ... + 16688180.

It is an arithmetic number, because the mean of its divisors is an integer number (302623619760).

Almost surely, 210233001230012 is an apocalyptic number.

10233001230012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10233001230012 is an abundant number, since it is smaller than the sum of its proper divisors (18818866266948).

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

10233001230012 is a wasteful number, since it uses less digits than its factorization.

10233001230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32751760 (or 32751752 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10233001230012 its reverse (21003210033201), we get a palindrome (31236211263213).

The spelling of 10233001230012 in words is "ten trillion, two hundred thirty-three billion, one million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 263 297 396 526 594 789 1052 1188 1578 2367 2893 3156 4734 5786 7101 8679 9468 11572 14202 17358 26037 28404 34716 52074 78111 104148 156222 312444 32751473 65502946 98254419 131005892 196508838 294763257 360266203 393017676 589526514 720532406 884289771 1080798609 1179053028 1441064812 1768579542 2161597218 3242395827 3537159084 4323194436 6484791654 8613637399 9727187481 12969583308 17227274798 19454374962 25840912197 34454549596 38908749924 51681824394 77522736591 94750011389 103363648788 155045473182 189500022778 232568209773 284250034167 310090946364 379000045556 465136419546 568500068334 852750102501 930272839092 1137000136668 1705500205002 2558250307503 3411000410004 5116500615006 10233001230012