Search a number
-
+
1121110000120 = 2351119136798101
BaseRepresentation
bin10000010100000111010…
…111010000000111111000
310222011210002020212220001
4100110013113100013320
5121332013130000440
62215010354042344
7143666102524255
oct20240727200770
93864702225801
101121110000120
113a2507405590
121613415793b4
13819494254c6
143c394d7242c
151e268dcab9a
hex105075d01f8

1121110000120 has 128 divisors (see below), whose sum is σ = 2898796377600. Its totient is φ = 385933248000.

The previous prime is 1121110000093. The next prime is 1121110000147. The reversal of 1121110000120 is 210000111211.

It is an interprime number because it is at equal distance from previous prime (1121110000093) and next prime (1121110000147).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1121110000097 and 1121110000106.

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 31 ways as a sum of consecutive naturals, for example, 11379070 + ... + 11477170.

It is an arithmetic number, because the mean of its divisors is an integer number (22646846700).

Almost surely, 21121110000120 is an apocalyptic number.

1121110000120 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 1121110000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449398188800).

1121110000120 is an abundant number, since it is smaller than the sum of its proper divisors (1777686377480).

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

1121110000120 is a wasteful number, since it uses less digits than its factorization.

1121110000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99509 (or 99505 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1121110000120 its reverse (210000111211), we get a palindrome (1331110111331).

The spelling of 1121110000120 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1367 1672 2090 2734 4180 5468 6835 8360 10936 13670 15037 25973 27340 30074 51946 54680 60148 75185 98101 103892 120296 129865 150370 196202 207784 259730 285703 300740 392404 490505 519460 571406 601480 784808 981010 1038920 1079111 1142812 1428515 1863919 1962020 2158222 2285624 2857030 3727838 3924040 4316444 5395555 5714060 7455676 8632888 9319595 10791110 11428120 14911352 18639190 20503109 21582220 37278380 41006218 43164440 74556760 82012436 102515545 134104067 164024872 205031090 268208134 410062180 536416268 670520335 820124360 1072832536 1341040670 1475144737 2547977273 2682081340 2950289474 5095954546 5364162680 5900578948 7375723685 10191909092 11801157896 12739886365 14751447370 20383818184 25479772730 28027750003 29502894740 50959545460 56055500006 59005789480 101919090920 112111000012 140138750015 224222000024 280277500030 560555000060 1121110000120