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1101020000112 = 2432113604311197
BaseRepresentation
bin10000000001011001111…
…001111110111101110000
310220020220222101010211200
4100001121321332331300
5121014342110000422
62201445051411200
7142355205404544
oct20013171767560
93806828333750
101101020000112
11394a380a519a
12159475453b00
137ca971c8936
143b40ab3da24
151d9902d32ac
hex10059e7ef70

1101020000112 has 120 divisors (see below), whose sum is σ = 3109387270704. Its totient is φ = 363666143232.

The previous prime is 1101020000111. The next prime is 1101020000123. The reversal of 1101020000112 is 2110000201011.

It is a happy number.

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 = 1101020000094 and 1101020000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101020000111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98326098 + ... + 98337294.

Almost surely, 21101020000112 is an apocalyptic number.

1101020000112 is a gapful number since it is divisible by the number (12) 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 1101020000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554693635352).

1101020000112 is an abundant number, since it is smaller than the sum of its proper divisors (2008367270592).

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

1101020000112 is a wasteful number, since it uses less digits than its factorization.

1101020000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101020000112 its reverse (2110000201011), we get a palindrome (3211020201123).

The spelling of 1101020000112 in words is "one trillion, one hundred one billion, twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 6043 8136 11197 12086 16272 18129 22394 24172 33591 36258 44788 48344 54387 67182 72516 89576 96688 100773 108774 134364 145032 179152 201546 217548 268728 290064 403092 435096 537456 682859 806184 870192 1265261 1365718 1612368 2048577 2530522 2731436 3795783 4097154 5061044 5462872 6145731 7591566 8194308 10122088 10925744 11387349 12291462 15183132 16388616 20244176 22774698 24582924 30366264 32777232 45549396 49165848 60732528 67663471 91098792 98331696 135326942 182197584 202990413 270653884 405980826 541307768 608971239 811961652 1082615536 1217942478 1623923304 2435884956 3247846608 4871769912 7645972223 9743539824 15291944446 22937916669 30583888892 45875833338 61167777784 68813750007 91751666676 122335555568 137627500014 183503333352 275255000028 367006666704 550510000056 1101020000112