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1053203132000 = 25532231180721
BaseRepresentation
bin11110101001101111100…
…11000110111001100000
310201200111112111120011102
433110313303012321200
5114223430000211000
62123500154133532
7136043232625025
oct17246763067140
93650445446142
101053203132000
1137672a790478
1215014b7212a8
1378416832836
1438d9233954c
151c5e24273d5
hexf537cc6e60

1053203132000 has 96 divisors (see below), whose sum is σ = 2599326422784. Its totient is φ = 419391744000.

The previous prime is 1053203131993. The next prime is 1053203132063. The reversal of 1053203132000 is 2313023501.

It is a super-4 number, since 4×10532031320004 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 301640 + ... + 1482360.

It is an arithmetic number, because the mean of its divisors is an integer number (27076316904).

Almost surely, 21053203132000 is an apocalyptic number.

1053203132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053203132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299663211392).

1053203132000 is an abundant number, since it is smaller than the sum of its proper divisors (1546123290784).

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

1053203132000 is a wasteful number, since it uses less digits than its factorization.

1053203132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180969 (or 1180951 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 1053203132000 its reverse (2313023501), we get a palindrome (1055516155501).

The spelling of 1053203132000 in words is "one trillion, fifty-three billion, two hundred three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 223 250 400 446 500 800 892 1000 1115 1784 2000 2230 3568 4000 4460 5575 7136 8920 11150 17840 22300 27875 35680 44600 55750 89200 111500 178400 223000 446000 892000 1180721 2361442 4722884 5903605 9445768 11807210 18891536 23614420 29518025 37783072 47228840 59036050 94457680 118072100 147590125 188915360 236144200 263300783 295180250 472288400 526601566 590360500 944576800 1053203132 1180721000 1316503915 2106406264 2361442000 2633007830 4212812528 4722884000 5266015660 6582519575 8425625056 10532031320 13165039150 21064062640 26330078300 32912597875 42128125280 52660156600 65825195750 105320313200 131650391500 210640626400 263300783000 526601566000 1053203132000