Search a number
-
+
2132033231412 = 2233723813118429
BaseRepresentation
bin11111000001100111000…
…101010101101000110100
321112211011001122221202000
4133001213011111220310
5234412401001401122
64311235331215300
7310014525311550
oct37014705255064
97484131587660
102132033231412
117522101a4857
122a5251747530
13126085749cc6
1475295dc4860
153a6d45ba0ac
hex1f067155a34

2132033231412 has 96 divisors (see below), whose sum is σ = 6317454124800. Its totient is φ = 609121627776.

The previous prime is 2132033231411. The next prime is 2132033231423. The reversal of 2132033231412 is 2141323302312.

2132033231412 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 0 + 332 + 314 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132033231411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17943414 + ... + 18061842.

It is an arithmetic number, because the mean of its divisors is an integer number (65806813800).

Almost surely, 22132033231412 is an apocalyptic number.

It is an amenable number.

2132033231412 is an abundant number, since it is smaller than the sum of its proper divisors (4185420893388).

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

2132033231412 is a wasteful number, since it uses less digits than its factorization.

2132033231412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142262 (or 142254 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2132033231412 its reverse (2141323302312), we get a palindrome (4273356533724).

The spelling of 2132033231412 in words is "two trillion, one hundred thirty-two billion, thirty-three million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 23813 47626 71439 95252 118429 142878 166691 214317 236858 285756 333382 355287 428634 473716 500073 642951 666764 710574 829003 857268 1000146 1065861 1285902 1421148 1500219 1658006 2000292 2131722 2487009 2571804 3000438 3197583 3316012 4263444 4500657 4974018 6000876 6395166 7461027 9001314 9948036 12790332 14922054 18002628 22383081 29844108 44766162 89532324 2820149777 5640299554 8460449331 11280599108 16920898662 19741048439 25381347993 33841797324 39482096878 50762695986 59223145317 76144043979 78964193756 101525391972 118446290634 152288087958 177669435951 236892581268 304576175916 355338871902 533008307853 710677743804 1066016615706 2132033231412