Search a number
-
+
1212110222100 = 2235217761312311
BaseRepresentation
bin10001101000110111011…
…001100011001100010100
311021212200001020010121220
4101220313121203030110
5124324400204101400
62324500304410340
7153400135615011
oct21506731431424
94255601203556
101212110222100
11428064691208
12176ab93169b0
138a3bc5319bb
1442948a38708
15217e2e7e7a0
hex11a37663314

1212110222100 has 144 divisors (see below), whose sum is σ = 3718226768256. Its totient is φ = 303815168000.

The previous prime is 1212110222039. The next prime is 1212110222129. The reversal of 1212110222100 is 12220112121.

It is a super-2 number, since 2×12121102221002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212110222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3724945 + ... + 4037255.

It is an arithmetic number, because the mean of its divisors is an integer number (25821019224).

Almost surely, 21212110222100 is an apocalyptic number.

1212110222100 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 1212110222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859113384128).

1212110222100 is an abundant number, since it is smaller than the sum of its proper divisors (2506116546156).

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

1212110222100 is a wasteful number, since it uses less digits than its factorization.

1212110222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313106 (or 313099 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1212110222100 its reverse (12220112121), we get a palindrome (1224330334221).

The spelling of 1212110222100 in words is "one trillion, two hundred twelve billion, one hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 761 850 1020 1275 1522 1700 2283 2550 3044 3805 4566 5100 7610 9132 11415 12937 15220 19025 22830 25874 38050 38811 45660 51748 57075 64685 76100 77622 114150 129370 155244 194055 228300 258740 312311 323425 388110 624622 646850 776220 936933 970275 1249244 1293700 1561555 1873866 1940550 3123110 3747732 3881100 4684665 5309287 6246220 7807775 9369330 10618574 15615550 15927861 18738660 21237148 23423325 26546435 31231100 31855722 46846650 53092870 63711444 79639305 93693300 106185740 132732175 159278610 237668671 265464350 318557220 398196525 475337342 530928700 713006013 796393050 950674684 1188343355 1426012026 1592786100 2376686710 2852024052 3565030065 4040367407 4753373420 5941716775 7130060130 8080734814 11883433550 12121102221 14260120260 16161469628 17825150325 20201837035 23766867100 24242204442 35650300650 40403674070 48484408884 60605511105 71300601300 80807348140 101009185175 121211022210 202018370350 242422044420 303027555525 404036740700 606055111050 1212110222100