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11270260080 = 243357966047
BaseRepresentation
bin10100111111100001…
…01000010101110000
31002002102222112101000
422133300220111300
5141040141310310
65102200442000
7546200426052
oct123760502560
932072875330
1011270260080
11486384a232
122226479300
1310a7c11961
1478cb418d2
1545e6764c0
hex29fc28570

11270260080 has 160 divisors (see below), whose sum is σ = 39311769600. Its totient is φ = 2967314688.

The previous prime is 11270260073. The next prime is 11270260093. The reversal of 11270260080 is 8006207211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137617 + ... + 203663.

It is an arithmetic number, because the mean of its divisors is an integer number (245698560).

Almost surely, 211270260080 is an apocalyptic number.

11270260080 is a gapful number since it is divisible by the number (10) 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 11270260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19655884800).

11270260080 is an abundant number, since it is smaller than the sum of its proper divisors (28041509520).

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

11270260080 is a wasteful number, since it uses less digits than its factorization.

11270260080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66148 (or 66136 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11270260080 its reverse (8006207211), we get a palindrome (19276467291).

The spelling of 11270260080 in words is "eleven billion, two hundred seventy million, two hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 79 80 90 108 120 135 144 158 180 216 237 240 270 316 360 395 432 474 540 632 711 720 790 948 1080 1185 1264 1422 1580 1896 2133 2160 2370 2844 3160 3555 3792 4266 4740 5688 6320 7110 8532 9480 10665 11376 14220 17064 18960 21330 28440 34128 42660 56880 66047 85320 132094 170640 198141 264188 330235 396282 528376 594423 660470 792564 990705 1056752 1188846 1320940 1585128 1783269 1981410 2377692 2641880 2972115 3170256 3566538 3962820 4755384 5217713 5283760 5944230 7133076 7925640 8916345 9510768 10435426 11888460 14266152 15653139 15851280 17832690 20870852 23776920 26088565 28532304 31306278 35665380 41741704 46959417 47553840 52177130 62612556 71330760 78265695 83483408 93918834 104354260 125225112 140878251 142661520 156531390 187837668 208708520 234797085 250450224 281756502 313062780 375675336 417417040 469594170 563513004 626125560 704391255 751350672 939188340 1127026008 1252251120 1408782510 1878376680 2254052016 2817565020 3756753360 5635130040 11270260080