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11210000022 = 2341317353887
BaseRepresentation
bin10100111000010101…
…10000011010010110
31001221020121000010000
422130022300122112
5140424230000042
65052205112130
7544536266544
oct123412603226
931836530100
1011210000022
114832830a31
12220a258646
1310985a3510
14784b36d94
1545922174c
hex29c2b0696

11210000022 has 160 divisors (see below), whose sum is σ = 28755663552. Its totient is φ = 3233488896.

The previous prime is 11209999991. The next prime is 11210000023. The reversal of 11210000022 is 22000001211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11209999959 and 11210000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210000023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12637663 + ... + 12638549.

Almost surely, 211210000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377831776).

11210000022 is an abundant number, since it is smaller than the sum of its proper divisors (17545663530).

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

11210000022 is a wasteful number, since it uses less digits than its factorization.

11210000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11210000022 its reverse (22000001211), we get a palindrome (33210001233).

The spelling of 11210000022 in words is "eleven billion, two hundred ten million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 353 442 459 663 702 706 887 918 1053 1059 1326 1377 1774 1989 2106 2118 2661 2754 3177 3978 4589 5322 5967 6001 6354 7983 9178 9531 11531 11934 12002 13767 15079 15966 17901 18003 19062 23062 23949 27534 28593 30158 34593 35802 36006 41301 45237 47898 54009 57186 69186 71847 78013 82602 90474 103779 108018 123903 135711 143694 156026 162027 196027 207558 234039 247806 271422 311337 313111 324054 371709 392054 407133 468078 486081 588081 622674 626222 702117 743418 814266 934011 939333 972162 1176162 1221399 1404234 1764243 1868022 1878666 2106351 2442798 2817999 3528486 4070443 4212702 5292729 5322887 5635998 6319053 8140886 8453997 10585458 10645774 12211329 12638106 15878187 15968661 16907994 24422658 25361991 31756374 31937322 36633987 47905983 50723982 69197531 73267974 95811966 109901961 138395062 143717949 207592593 219803922 287435898 329705883 415185186 431153847 622777779 659411766 862307694 1245555558 1868333337 3736666674 5605000011 11210000022