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1035201430332 = 22343786353139
BaseRepresentation
bin11110001000001101101…
…00000100001100111100
310122222000222010100220000
433010012310010030330
5113430043031232312
62111322011154300
7134535153654546
oct17040664041474
93588028110800
101035201430332
1136a032246583
12148766a45990
1376808157864
14381655c8696
151bddbd34adc
hexf106d0433c

1035201430332 has 60 divisors (see below), whose sum is σ = 2779362164040. Its totient is φ = 335741000544.

The previous prime is 1035201430321. The next prime is 1035201430357. The reversal of 1035201430332 is 2330341025301.

1035201430332 is a `hidden beast` number, since 1 + 0 + 352 + 0 + 1 + 4 + 303 + 3 + 2 = 666.

It is a super-2 number, since 2×10352014303322 (a number of 25 digits) contains 22 as substring.

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 = 1035201430296 and 1035201430305.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 43164582 + ... + 43188557.

It is an arithmetic number, because the mean of its divisors is an integer number (46322702734).

Almost surely, 21035201430332 is an apocalyptic number.

1035201430332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1035201430332 is an abundant number, since it is smaller than the sum of its proper divisors (1744160733708).

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

1035201430332 is a wasteful number, since it uses less digits than its factorization.

1035201430332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86353192 (or 86353181 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1035201430332 its reverse (2330341025301), we get a palindrome (3365542455633).

The spelling of 1035201430332 in words is "one trillion, thirty-five billion, two hundred one million, four hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 86353139 172706278 259059417 345412556 518118834 777178251 1036237668 1554356502 2331534753 3108713004 3195066143 4663069506 6390132286 6994604259 9326139012 9585198429 12780264572 13989208518 19170396858 27978417036 28755595287 38340793716 57511190574 86266785861 115022381148 172533571722 258800357583 345067143444 517600715166 1035201430332