Search a number
-
+
1121100332120 = 235175093239051
BaseRepresentation
bin10000010100000110110…
…010010111110001011000
310222011202102001200212222
4100110012302113301120
5121332003141111440
62215005410523212
7143665624406546
oct20240662276130
93864672050788
101121100332120
113a2501a018aa
1216133a296508
138194741bab2
143c393976d96
151e26811b2b5
hex10506c97c58

1121100332120 has 64 divisors (see below), whose sum is σ = 2676104762400. Its totient is φ = 421231974400.

The previous prime is 1121100332117. The next prime is 1121100332159. The reversal of 1121100332120 is 212330011211.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 15 ways as a sum of consecutive naturals, for example, 1273406 + ... + 1965645.

Almost surely, 21121100332120 is an apocalyptic number.

1121100332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121100332120 is an abundant number, since it is smaller than the sum of its proper divisors (1555004430280).

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

1121100332120 is a wasteful number, since it uses less digits than its factorization.

1121100332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239588 (or 3239584 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1121100332120 its reverse (212330011211), we get a palindrome (1333430343331).

The spelling of 1121100332120 in words is "one trillion, one hundred twenty-one billion, one hundred million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 509 680 1018 2036 2545 4072 5090 8653 10180 17306 20360 34612 43265 69224 86530 173060 346120 3239051 6478102 12956204 16195255 25912408 32390510 55063867 64781020 110127734 129562040 220255468 275319335 440510936 550638670 1101277340 1648676959 2202554680 3297353918 6594707836 8243384795 13189415672 16486769590 28027508303 32973539180 56055016606 65947078360 112110033212 140137541515 224220066424 280275083030 560550166060 1121100332120