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1121112202100 = 2252112211143891
BaseRepresentation
bin10000010100000111011…
…111101001101101110100
310222011210020101202102212
4100110013133221231310
5121332014210431400
62215010513152552
7143666130325112
oct20240737515564
93864706352385
101121112202100
113a2508679a00
1216134225b758
1381949a16857
143c395386ab2
151e2691b3335
hex105077e9b74

1121112202100 has 108 divisors (see below), whose sum is σ = 2675411929344. Its totient is φ = 407474760000.

The previous prime is 1121112202057. The next prime is 1121112202169. The reversal of 1121112202100 is 12022111211.

It is a super-2 number, since 2×11211122021002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25521155 + ... + 25565045.

Almost surely, 21121112202100 is an apocalyptic number.

1121112202100 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 1121112202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337705964672).

1121112202100 is an abundant number, since it is smaller than the sum of its proper divisors (1554299727244).

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

1121112202100 is a wasteful number, since it uses less digits than its factorization.

1121112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46038 (or 46020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1121112202100 its reverse (12022111211), we get a palindrome (1133134313311).

The spelling of 1121112202100 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2111 2420 3025 4222 6050 8444 10555 12100 21110 23221 42220 43891 46442 52775 87782 92884 105550 116105 175564 211100 219455 232210 255431 438910 464420 482801 510862 580525 877820 965602 1021724 1097275 1161050 1277155 1931204 2194550 2322100 2414005 2554310 4389100 4828010 5108620 5310811 6385775 9656020 10621622 12070025 12771550 21243244 24140050 25543100 26554055 48280100 53108110 92653901 106216220 132770275 185307802 265540550 370615604 463269505 531081100 926539010 1019192911 1853078020 2038385822 2316347525 4076771644 4632695050 5095964555 9265390100 10191929110 11211122021 20383858220 22422244042 25479822775 44844488084 50959645550 56055610105 101919291100 112111220210 224222440420 280278050525 560556101050 1121112202100