Search a number
-
+
1121400020 = 2251341591783
BaseRepresentation
bin100001011010111…
…0011010011010100
32220011010000122002
41002311303103110
54244034300040
6303135254432
736534512546
oct10265632324
92804100562
101121400020
11526001484
1227367a418
1314b434410
14a8d0d696
15686b1a15
hex42d734d4

1121400020 has 96 divisors (see below), whose sum is σ = 2643459840. Its totient is φ = 396887040.

The previous prime is 1121400017. The next prime is 1121400031. The reversal of 1121400020 is 200041211.

It is a junction number, because it is equal to n+sod(n) for n = 1121399974 and 1121400010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628049 + ... + 629831.

It is an arithmetic number, because the mean of its divisors is an integer number (27536040).

Almost surely, 21121400020 is an apocalyptic number.

1121400020 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 1121400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321729920).

1121400020 is an abundant number, since it is smaller than the sum of its proper divisors (1522059820).

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

1121400020 is a wasteful number, since it uses less digits than its factorization.

1121400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1121400020 is about 33487.3113283226. The cubic root of 1121400020 is about 1038.9313542186.

Adding to 1121400020 its reverse (200041211), we get a palindrome (1321441231).

The spelling of 1121400020 in words is "one billion, one hundred twenty-one million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 59 65 82 118 130 164 205 236 260 295 410 533 590 767 820 1066 1180 1534 1783 2132 2419 2665 3068 3566 3835 4838 5330 7132 7670 8915 9676 10660 12095 15340 17830 23179 24190 31447 35660 46358 48380 62894 73103 92716 105197 115895 125788 146206 157235 210394 231790 292412 314470 365515 420788 463580 525985 628940 731030 950339 1051970 1367561 1462060 1900678 2103940 2735122 3801356 4313077 4751695 5470244 6837805 8626154 9503390 13675610 17252308 19006780 21565385 27351220 43130770 56070001 86261540 112140002 224280004 280350005 560700010 1121400020