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1121223103400 = 235217433761597
BaseRepresentation
bin10000010100001110000…
…110101101001110101000
310222012001222002010102102
4100110032012231032220
5121332231103302100
62215025514152532
7144001645062401
oct20241606551650
93865058063372
101121223103400
113a2565236774
12161373422748
13819669a621a
143c3a5db49a8
151e273cbccd5
hex1050e1ad3a8

1121223103400 has 96 divisors (see below), whose sum is σ = 2766565662840. Its totient is φ = 421132124160.

The previous prime is 1121223103381. The next prime is 1121223103457. The reversal of 1121223103400 is 43013221211.

It can be written as a sum of positive squares in 12 ways, for example, as 163537742404 + 957685360996 = 404398^2 + 978614^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 1091402 + ... + 1852998.

Almost surely, 21121223103400 is an apocalyptic number.

1121223103400 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 1121223103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383282831420).

1121223103400 is an abundant number, since it is smaller than the sum of its proper divisors (1645342559440).

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

1121223103400 is a wasteful number, since it uses less digits than its factorization.

1121223103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762063 (or 762054 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1121223103400 its reverse (43013221211), we get a palindrome (1164236324611).

The spelling of 1121223103400 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 433 680 850 866 1700 1732 2165 3400 3464 4330 7361 8660 10825 14722 17320 21650 29444 36805 43300 58888 73610 86600 147220 184025 294440 368050 736100 761597 1472200 1523194 3046388 3807985 6092776 7615970 12947149 15231940 19039925 25894298 30463880 38079850 51788596 64735745 76159700 103577192 129471490 152319400 258942980 323678725 329771501 517885960 647357450 659543002 1294714900 1319086004 1648857505 2589429800 2638172008 3297715010 5606115517 6595430020 8244287525 11212231034 13190860040 16488575050 22424462068 28030577585 32977150100 44848924136 56061155170 65954300200 112122310340 140152887925 224244620680 280305775850 560611551700 1121223103400