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1034433132201 = 327237956310993
BaseRepresentation
bin11110000110110010000…
…01001111011010101001
310122220001102102202222200
433003121001033122221
5113422004340212301
62111113444010413
7134510134355400
oct17033101173251
93586042382880
101034433132201
11369778598847
12148591690a09
1376714c24491
14380d1552637
151bd94670c86
hexf0d904f6a9

1034433132201 has 72 divisors (see below), whose sum is σ = 1745969453280. Its totient is φ = 588444321024.

The previous prime is 1034433132169. The next prime is 1034433132283. The reversal of 1034433132201 is 1022313344301.

It is a happy number.

1034433132201 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 331 + 322 + 0 + 1 = 666.

1034433132201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1034433132201 - 25 = 1034433132169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1034433232201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94093761 + ... + 94104753.

It is an arithmetic number, because the mean of its divisors is an integer number (24249575740).

Almost surely, 21034433132201 is an apocalyptic number.

It is an amenable number.

1034433132201 is a deficient number, since it is larger than the sum of its proper divisors (711536321079).

1034433132201 is a wasteful number, since it uses less digits than its factorization.

1034433132201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955 (or 11945 counting only the distinct ones).

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

Adding to 1034433132201 its reverse (1022313344301), we get a palindrome (2056746476502).

The spelling of 1034433132201 in words is "one trillion, thirty-four billion, four hundred thirty-three million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 379 441 563 1137 1689 2653 3411 3941 5067 7959 10993 11823 18571 23877 27587 32979 35469 55713 76951 82761 98937 167139 213377 230853 248283 538657 640131 692559 1493639 1615971 1920393 4166347 4480917 4847913 6189059 10455473 12499041 13442751 18567177 29164429 31366419 37497123 43323413 55701531 87493287 94099257 129970239 204151003 262479861 303263891 389910717 612453009 909791673 1837359027 2345653361 2729375019 7036960083 16419573527 21110880249 49258720581 114937014689 147776161743 344811044067 1034433132201