Search a number
-
+
1121210101120 = 27517293553531
BaseRepresentation
bin10000010100001101010…
…101000110110110000000
310222012001001121112122111
4100110031111012312000
5121332214241213440
62215024331345104
7144001426420024
oct20241525066600
93865031545574
101121210101120
113a255896598a
1216136abb2194
13819640a2c75
143c3a438c384
151e272aa04ea
hex1050d546d80

1121210101120 has 128 divisors (see below), whose sum is σ = 2935928138400. Its totient is φ = 407547248640.

The previous prime is 1121210101079. The next prime is 1121210101133. The reversal of 1121210101120 is 211010121211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11212101011202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1121210101120.

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, 1461246 + ... + 2092285.

Almost surely, 21121210101120 is an apocalyptic number.

1121210101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121210101120 is an abundant number, since it is smaller than the sum of its proper divisors (1814718037280).

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

1121210101120 is a wasteful number, since it uses less digits than its factorization.

1121210101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553596 (or 3553584 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121210101120 its reverse (211010121211), we get a palindrome (1332220222331).

The spelling of 1121210101120 in words is "one trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 128 136 145 160 170 232 272 290 320 340 464 493 544 580 640 680 928 986 1088 1160 1360 1856 1972 2176 2320 2465 2720 3712 3944 4640 4930 5440 7888 9280 9860 10880 15776 18560 19720 31552 39440 63104 78880 157760 315520 3553531 7107062 14214124 17767655 28428248 35535310 56856496 60410027 71070620 103052399 113712992 120820054 142141240 206104798 227425984 241640108 284282480 302050135 412209596 454851968 483280216 515261995 568564960 604100270 824419192 966560432 1030523990 1137129920 1208200540 1648838384 1751890783 1933120864 2061047980 2274259840 2416401080 3297676768 3503781566 3866241728 4122095960 4832802160 6595353536 7007563132 7732483456 8244191920 8759453915 9665604320 13190707072 14015126264 16488383840 17518907830 19331208640 28030252528 32976767680 35037815660 38662417280 56060505056 65953535360 70075631320 112121010112 140151262640 224242020224 280302525280 560605050560 1121210101120