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11007021012 = 22313384718341
BaseRepresentation
bin10100100000001000…
…11100111111010100
31001102002122121020220
422100010130333110
5140020244133022
65020114354340
7536523064161
oct122004347724
931362577226
1011007021012
1147391a3889
12217228b9b0
1310655152b0
14765bbb068
154464c985c
hex29011cfd4

11007021012 has 48 divisors (see below), whose sum is σ = 27667366272. Its totient is φ = 3385710720.

The previous prime is 11007021001. The next prime is 11007021023. The reversal of 11007021012 is 21012070011.

It is an interprime number because it is at equal distance from previous prime (11007021001) and next prime (11007021023).

It is a junction number, because it is equal to n+sod(n) for n = 11007020982 and 11007021000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590962 + ... + 609302.

It is an arithmetic number, because the mean of its divisors is an integer number (576403464).

Almost surely, 211007021012 is an apocalyptic number.

11007021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11007021012 is an abundant number, since it is smaller than the sum of its proper divisors (16660345260).

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

11007021012 is a wasteful number, since it uses less digits than its factorization.

11007021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22208 (or 22206 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 11007021012 its reverse (21012070011), we get a palindrome (32019091023).

The spelling of 11007021012 in words is "eleven billion, seven million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 3847 7694 11541 15388 18341 23082 36682 46164 50011 55023 73364 100022 110046 150033 200044 220092 238433 300066 476866 600132 715299 953732 1430598 2861196 70557827 141115654 211673481 282231308 423346962 846693924 917251751 1834503502 2751755253 3669007004 5503510506 11007021012