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1100122002 = 2327191932381
BaseRepresentation
bin100000110010010…
…1000011110010010
32211200001222200100
41001210220132102
54223112401002
6301055233230
736155611530
oct10144503622
92750058610
101100122002
11514a98a41
12268518816
13146bc4385
14a6171150
15668ac11c
hex41928792

1100122002 has 96 divisors (see below), whose sum is σ = 2883553920. Its totient is φ = 296110080.

The previous prime is 1100121973. The next prime is 1100122013. The reversal of 1100122002 is 2002210011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460852 + ... + 463232.

It is an arithmetic number, because the mean of its divisors is an integer number (30037020).

Almost surely, 21100122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441776960).

1100122002 is an abundant number, since it is smaller than the sum of its proper divisors (1783431918).

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

1100122002 is a wasteful number, since it uses less digits than its factorization.

1100122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2605 counting only the distinct ones).

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

The square root of 1100122002 is about 33168.0871019117. The cubic root of 1100122002 is about 1032.3182777542.

Adding to 1100122002 its reverse (2002210011), we get a palindrome (3102332013).

The spelling of 1100122002 in words is "one billion, one hundred million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 193 266 342 386 399 579 798 1158 1197 1351 1737 2381 2394 2702 3474 3667 4053 4762 7143 7334 8106 11001 12159 14286 16667 21429 22002 24318 25669 33003 33334 42858 45239 50001 51338 66006 77007 90478 100002 135717 150003 154014 231021 271434 300006 316673 407151 459533 462042 633346 814302 919066 950019 1378599 1900038 2757198 2850057 3216731 4135797 5700114 6433462 8271594 8731127 9650193 17462254 19300386 26193381 28950579 52386762 57901158 61117889 78580143 122235778 157160286 183353667 366707334 550061001 1100122002