Search a number
-
+
10212232033032 = 23316312972012713
BaseRepresentation
bin1001010010011011100001…
…1101100111001100001000
31100011021120000020121011020
42110212320131213030020
52314304122400024112
633415233514032440
72102544426016221
oct224467035471410
940137500217136
1010212232033032
113287a8a828727
12118b247a18720
13591017700963
142743bb98c248
1512a99c1bd48c
hex949b8767308

10212232033032 has 64 divisors (see below), whose sum is σ = 25707027276480. Its totient is φ = 3380583278592.

The previous prime is 10212232033021. The next prime is 10212232033049. The reversal of 10212232033032 is 23033023221201.

It is a super-2 number, since 2×102122320330322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10212232032993 and 10212232033011.

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, 4067508 + ... + 6080220.

It is an arithmetic number, because the mean of its divisors is an integer number (401672301195).

Almost surely, 210212232033032 is an apocalyptic number.

10212232033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212232033032 is an abundant number, since it is smaller than the sum of its proper divisors (15494795243448).

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

10212232033032 is a wasteful number, since it uses less digits than its factorization.

10212232033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014182 (or 2014178 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10212232033032 its reverse (23033023221201), we get a palindrome (33245255254233).

The spelling of 10212232033032 in words is "ten trillion, two hundred twelve billion, two hundred thirty-two million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 163 326 489 652 978 1297 1304 1956 2594 3891 3912 5188 7782 10376 15564 31128 211411 422822 634233 845644 1268466 1691288 2012713 2536932 4025426 5073864 6038139 8050852 12076278 16101704 24152556 48305112 328072219 656144438 984216657 1312288876 1968433314 2610488761 2624577752 3936866628 5220977522 7831466283 7873733256 10441955044 15662932566 20883910088 31325865132 62651730264 425509668043 851019336086 1276529004129 1702038672172 2553058008258 3404077344344 5106116016516 10212232033032