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11270107350 = 23252312273559
BaseRepresentation
bin10100111111100000…
…00011000011010110
31002002102200202212100
422133300003003112
5141040121413400
65102153302530
7546166221555
oct123760030326
932072622770
1011270107350
114863755507
122226404a46
1310a7b8a298
1478cb01d9c
1545e646100
hex29fc030d6

11270107350 has 144 divisors (see below), whose sum is σ = 31402275840. Its totient is φ = 2894788800.

The previous prime is 11270107333. The next prime is 11270107411. The reversal of 11270107350 is 5370107211.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3164871 + ... + 3168429.

It is an arithmetic number, because the mean of its divisors is an integer number (218071360).

Almost surely, 211270107350 is an apocalyptic number.

11270107350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11270107350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701137920).

11270107350 is an abundant number, since it is smaller than the sum of its proper divisors (20132168490).

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

11270107350 is a wasteful number, since it uses less digits than its factorization.

11270107350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 11270107350 in words is "eleven billion, two hundred seventy million, one hundred seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 227 279 310 450 454 465 558 681 775 930 1135 1362 1395 1550 2043 2270 2325 2790 3405 3559 4086 4650 5675 6810 6975 7037 7118 10215 10677 11350 13950 14074 17025 17795 20430 21111 21354 32031 34050 35185 35590 42222 51075 53385 63333 64062 70370 88975 102150 105555 106770 110329 126666 160155 175925 177950 211110 220658 266925 316665 320310 330987 351850 527775 533850 551645 633330 661974 800775 807893 992961 1055550 1103290 1583325 1601550 1615786 1654935 1985922 2423679 2758225 3166650 3309870 4039465 4847358 4964805 5516450 7271037 8078930 8274675 9929610 12118395 14542074 16549350 20197325 24236790 24824025 25044683 36355185 40394650 49648050 50089366 60591975 72710370 75134049 121183950 125223415 150268098 181775925 225402147 250446830 363551850 375670245 450804294 626117075 751340490 1127010735 1252234150 1878351225 2254021470 3756702450 5635053675 11270107350