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11203020312 = 23311193172047
BaseRepresentation
bin10100110111100000…
…01000011000011000
31001220202110101202020
422123300020120120
5140420433122222
65051355334440
7544423046541
oct123360103030
931822411666
1011203020312
1148298a3a80
122207a51420
131096ccb603
14783c3b4c8
154587e365c
hex29bc08618

11203020312 has 128 divisors (see below), whose sum is σ = 33199718400. Its totient is φ = 3112387200.

The previous prime is 11203020307. The next prime is 11203020329. The reversal of 11203020312 is 21302030211.

It is a super-2 number, since 2×112030203122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11203020291 and 11203020300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119473 + ... + 191519.

It is an arithmetic number, because the mean of its divisors is an integer number (259372800).

Almost surely, 211203020312 is an apocalyptic number.

11203020312 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 11203020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16599859200).

11203020312 is an abundant number, since it is smaller than the sum of its proper divisors (21996698088).

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

11203020312 is a wasteful number, since it uses less digits than its factorization.

11203020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72117 (or 72113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11203020312 its reverse (21302030211), we get a palindrome (32505050523).

The spelling of 11203020312 in words is "eleven billion, two hundred three million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 124 132 152 186 209 228 248 264 341 372 418 456 589 627 682 744 836 1023 1178 1254 1364 1672 1767 2046 2356 2508 2728 3534 4092 4712 5016 6479 7068 8184 12958 14136 19437 25916 38874 51832 72047 77748 144094 155496 216141 288188 432282 576376 792517 864564 1368893 1585034 1729128 2233457 2377551 2737786 3170068 4106679 4466914 4755102 5475572 6340136 6700371 8213358 8933828 9510204 10951144 13400742 15057823 16426716 17867656 19020408 24568027 26801484 30115646 32853432 42435683 45173469 49136054 53602968 60231292 73704081 84871366 90346938 98272108 120462584 127307049 147408162 169742732 180693876 196544216 254614098 294816324 339485464 361387752 466792513 509228196 589632648 933585026 1018456392 1400377539 1867170052 2800755078 3734340104 5601510156 11203020312