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1200113113032 = 233471139187661
BaseRepresentation
bin10001011101101100010…
…100001101011111001000
311020201200221112211220000
4101131230110031133020
5124130312424104112
62315154021003000
7152463631101441
oct21355424153710
94221627484800
101200113113032
11422a68624639
1217470b553460
1389229b6ccb2
144212b5702c8
152133ead07dc
hex1176c50d7c8

1200113113032 has 160 divisors (see below), whose sum is σ = 3433313822400. Its totient is φ = 391563849600.

The previous prime is 1200113113013. The next prime is 1200113113057. The reversal of 1200113113032 is 2303113110021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1200113112996 and 1200113113014.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6301282 + ... + 6488942.

It is an arithmetic number, because the mean of its divisors is an integer number (21458211390).

Almost surely, 21200113113032 is an apocalyptic number.

1200113113032 is a gapful number since it is divisible by the number (12) 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 1200113113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716656911200).

1200113113032 is an abundant number, since it is smaller than the sum of its proper divisors (2233200709368).

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

1200113113032 is a wasteful number, since it uses less digits than its factorization.

1200113113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187889 (or 187876 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1200113113032 its reverse (2303113110021), we get a palindrome (3503226223053).

The spelling of 1200113113032 in words is "one trillion, two hundred billion, one hundred thirteen million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 139 142 162 213 216 278 284 324 417 426 556 568 639 648 834 852 1112 1251 1278 1668 1704 1917 2502 2556 3336 3753 3834 5004 5112 5751 7506 7668 9869 10008 11259 11502 15012 15336 19738 22518 23004 29607 30024 39476 45036 46008 59214 78952 88821 90072 118428 177642 187661 236856 266463 355284 375322 532926 562983 710568 750644 799389 1065852 1125966 1501288 1598778 1688949 2131704 2251932 3197556 3377898 4503864 5066847 6395112 6755796 10133694 13323931 13511592 15200541 20267388 26084879 26647862 30401082 39971793 40534776 52169758 53295724 60802164 78254637 79943586 104339516 106591448 119915379 121604328 156509274 159887172 208679032 234763911 239830758 313018548 319774344 359746137 469527822 479661516 626037096 704291733 719492274 939055644 959323032 1079238411 1408583466 1438984548 1852026409 1878111288 2112875199 2158476822 2817166932 2877969096 3704052818 4225750398 4316953644 5556079227 5634333864 7408105636 8451500796 8633907288 11112158454 14816211272 16668237681 16903001592 22224316908 33336475362 44448633816 50004713043 66672950724 100009426086 133345901448 150014139129 200018852172 300028278258 400037704344 600056556516 1200113113032