Search a number
-
+
10024030212120 = 23325191465501493
BaseRepresentation
bin1001000111011110011011…
…0000101001000000011000
31022111021202220022111202200
42101313212300221000120
52303213203213241440
633152550443530200
72053132545645621
oct221674660510030
938437686274680
1010024030212120
113215192802061
12115a883529960
135793537a2252
14269246790a48
15125b34900c30
hex91de6c29018

10024030212120 has 96 divisors (see below), whose sum is σ = 34292734959600. Its totient is φ = 2532386578176.

The previous prime is 10024030212073. The next prime is 10024030212151. The reversal of 10024030212120 is 2121203042001.

It is a happy number.

10024030212120 is a `hidden beast` number, since 1 + 0 + 0 + 240 + 302 + 1 + 2 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10024030212093 and 10024030212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732743907 + ... + 732757586.

Almost surely, 210024030212120 is an apocalyptic number.

10024030212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024030212120 is an abundant number, since it is smaller than the sum of its proper divisors (24268704747480).

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

10024030212120 is a wasteful number, since it uses less digits than its factorization.

10024030212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465501529 (or 1465501522 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10024030212120 its reverse (2121203042001), we get a palindrome (12145233254121).

The spelling of 10024030212120 in words is "ten trillion, twenty-four billion, thirty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 1465501493 2931002986 4396504479 5862005972 7327507465 8793008958 11724011944 13189513437 14655014930 17586017916 21982522395 26379026874 27844528367 29310029860 35172035832 43965044790 52758053748 55689056734 58620059720 65947567185 83533585101 87930089580 105516107496 111378113468 131895134370 139222641835 167067170202 175860179160 222756226936 250600755303 263790268740 278445283670 334134340404 417667925505 501201510606 527580537480 556890567340 668268680808 835335851010 1002403021212 1113781134680 1253003776515 1670671702020 2004806042424 2506007553030 3341343404040 5012015106060 10024030212120