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10233144234 = 234731078087
BaseRepresentation
bin10011000011111000…
…10110001110101010
3222102011110120220000
421201330112032222
5131424141103414
64411231443430
7511405201515
oct114174261652
928364416800
1010233144234
1143813857a5
121b97086576
13c710aa941
146d10d1d7c
153ed5b2b09
hex261f163aa

10233144234 has 80 divisors (see below), whose sum is σ = 23464064448. Its totient is φ = 3332467008.

The previous prime is 10233144227. The next prime is 10233144281. The reversal of 10233144234 is 43244133201.

10233144234 is a `hidden beast` number, since 1 + 0 + 233 + 1 + 4 + 423 + 4 = 666.

10233144234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10233144198 and 10233144207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1261339 + ... + 1269425.

Almost surely, 210233144234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233144234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732032224).

10233144234 is an abundant number, since it is smaller than the sum of its proper divisors (13230920214).

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

10233144234 is a wasteful number, since it uses less digits than its factorization.

10233144234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10233144234 its reverse (43244133201), we get a palindrome (53477277435).

The spelling of 10233144234 in words is "ten billion, two hundred thirty-three million, one hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 73 81 107 146 162 214 219 321 438 642 657 963 1314 1926 1971 2889 3942 5778 5913 7811 8087 8667 11826 15622 16174 17334 23433 24261 46866 48522 70299 72783 140598 145566 210897 218349 421794 436698 590351 632691 655047 865309 1180702 1265382 1310094 1730618 1771053 2595927 3542106 5191854 5313159 7787781 10626318 15575562 15939477 23363343 31878954 46726686 47818431 63167557 70090029 95636862 126335114 140180058 189502671 379005342 568508013 1137016026 1705524039 3411048078 5116572117 10233144234