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10111323003124 = 2272713881187219
BaseRepresentation
bin1001001100100011100111…
…0100001101100011110100
31022210122002111002202022011
42103020321310031203310
52311130442142044444
633301024435214004
72062343003302600
oct223107164154364
938718074082264
1010111323003124
113249208262a42
121173785747304
135846557856c5
1426d567d00500
15128043271734
hex93239d0d8f4

10111323003124 has 72 divisors (see below), whose sum is σ = 20879166813120. Its totient is φ = 4271266339200.

The previous prime is 10111323003113. The next prime is 10111323003163. The reversal of 10111323003124 is 42130032311101.

It is a super-2 number, since 2×101113230031242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111323003095 and 10111323003104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53914387 + ... + 54101605.

It is an arithmetic number, because the mean of its divisors is an integer number (289988427960).

Almost surely, 210111323003124 is an apocalyptic number.

10111323003124 is a gapful number since it is divisible by the number (14) 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 10111323003124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439583406560).

10111323003124 is an abundant number, since it is smaller than the sum of its proper divisors (10767843809996).

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

10111323003124 is a wasteful number, since it uses less digits than its factorization.

10111323003124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191189 (or 191180 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10111323003124 its reverse (42130032311101), we get a palindrome (52241355314225).

The spelling of 10111323003124 in words is "ten trillion, one hundred eleven billion, three hundred twenty-three million, three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 994 1988 3479 3881 6958 7762 13916 15524 27167 54334 108668 187219 190169 275551 374438 380338 551102 748876 760676 1102204 1310533 1928857 2621066 3857714 5242132 7715428 9173731 13292549 13501999 18347462 26585098 27003998 36694924 53170196 54007996 93047843 186095686 372191372 651334901 726596939 1302669802 1453193878 2605339604 2906387756 5086178573 10172357146 20344714292 35603250011 51588382669 71206500022 103176765338 142413000044 206353530676 361118678683 722237357366 1444474714732 2527830750781 5055661501562 10111323003124