Search a number
-
+
11273771430 = 2335181349661
BaseRepresentation
bin10100111111111100…
…00001100110100110
31002002200120221001000
422133332001212212
5141042041141210
65102404014130
7546242322165
oct123776014646
932080527030
1011273771430
114865828379
122227691346
1310a8870c8c
1478d3b73dc
1545eb1bac0
hex29ff819a6

11273771430 has 128 divisors (see below), whose sum is σ = 30361968000. Its totient is φ = 2976652800.

The previous prime is 11273771381. The next prime is 11273771437. The reversal of 11273771430 is 3417737211.

It is a happy number.

11273771430 is a `hidden beast` number, since 1 + 127 + 37 + 71 + 430 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11273771437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17055300 + ... + 17055960.

It is an arithmetic number, because the mean of its divisors is an integer number (237202875).

Almost surely, 211273771430 is an apocalyptic number.

11273771430 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 11273771430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180984000).

11273771430 is an abundant number, since it is smaller than the sum of its proper divisors (19088196570).

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

11273771430 is a wasteful number, since it uses less digits than its factorization.

11273771430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 11273771430 in words is "eleven billion, two hundred seventy-three million, seven hundred seventy-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 181 270 349 362 543 661 698 905 1047 1086 1322 1629 1745 1810 1983 2094 2715 3141 3258 3305 3490 3966 4887 5235 5430 5949 6282 6610 8145 9423 9774 9915 10470 11898 15705 16290 17847 18846 19830 24435 29745 31410 35694 47115 48870 59490 63169 89235 94230 119641 126338 178470 189507 230689 239282 315845 358923 379014 461378 568521 598205 631690 692067 717846 947535 1076769 1137042 1153445 1196410 1384134 1705563 1794615 1895070 2076201 2153538 2306890 2842605 3230307 3411126 3460335 3589230 4152402 5383845 5685210 6228603 6460614 6920670 8527815 10381005 10767690 12457206 16151535 17055630 20762010 31143015 32303070 41754709 62286030 83509418 125264127 208773545 250528254 375792381 417547090 626320635 751584762 1127377143 1252641270 1878961905 2254754286 3757923810 5636885715 11273771430