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1122101112210 = 2351341271258949
BaseRepresentation
bin10000010101000010011…
…100000010110110010010
310222021100011012121002020
4100111002130002312102
5121341030341042320
62215253001032310
7144032466040011
oct20250234026622
93867304177066
101122101112210
113a2975908791
12161579485696
1381a76870070
143c44a848a78
151e2c5e03940
hex10542702d92

1122101112210 has 128 divisors (see below), whose sum is σ = 2981910758400. Its totient is φ = 268477286400.

The previous prime is 1122101112193. The next prime is 1122101112233. The reversal of 1122101112210 is 122111012211.

It is a happy number.

It is a super-2 number, since 2×11221011122102 (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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122101112210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4203816 + ... + 4462764.

It is an arithmetic number, because the mean of its divisors is an integer number (23296177800).

Almost surely, 21122101112210 is an apocalyptic number.

1122101112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122101112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490955379200).

1122101112210 is an abundant number, since it is smaller than the sum of its proper divisors (1859809646190).

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

1122101112210 is a wasteful number, since it uses less digits than its factorization.

1122101112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259284.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1122101112210 its reverse (122111012211), we get a palindrome (1244212124421).

Subtracting from 1122101112210 its reverse (122111012211), we obtain a palindrome (999990099999).

The spelling of 1122101112210 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 271 390 410 533 542 615 813 1066 1230 1355 1599 1626 2665 2710 3198 3523 4065 5330 7046 7995 8130 10569 11111 15990 17615 21138 22222 33333 35230 52845 55555 66666 105690 111110 144443 166665 258949 288886 333330 433329 517898 722215 776847 866658 1294745 1444430 1553694 2166645 2589490 3366337 3884235 4333290 6732674 7768470 10099011 10616909 16831685 20198022 21233818 31850727 33663370 50495055 53084545 63701454 70175179 100990110 106169090 138019817 140350358 159253635 210525537 276039634 318507270 350875895 414059451 421051074 690099085 701751790 828118902 912277327 1052627685 1380198170 1824554654 2070297255 2105255370 2736831981 2877182339 4140594510 4561386635 5473663962 5754364678 8631547017 9122773270 13684159905 14385911695 17263094034 27368319810 28771823390 37403370407 43157735085 74806740814 86315470170 112210111221 187016852035 224420222442 374033704070 561050556105 1122101112210