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10111422011020 = 22511173919689867
BaseRepresentation
bin1001001100100011111110…
…1101111001011010001100
31022210122100101101212121021
42103020333231321122030
52311131143013323040
633301042333243524
72062345314663421
oct223107755713214
938718311355537
1010111422011020
113249259137050
1211737b29335a4
1358467013c765
1426d577113d48
1512804bccc24a
hex9323fb7968c

10111422011020 has 96 divisors (see below), whose sum is σ = 24533251384320. Its totient is φ = 3459705584640.

The previous prime is 10111422010967. The next prime is 10111422011039. The reversal of 10111422011020 is 2011022411101.

It is a junction number, because it is equal to n+sod(n) for n = 10111422010985 and 10111422011003.

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, 14312127 + ... + 15001993.

It is an arithmetic number, because the mean of its divisors is an integer number (255554701920).

Almost surely, 210111422011020 is an apocalyptic number.

10111422011020 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 10111422011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12266625692160).

10111422011020 is an abundant number, since it is smaller than the sum of its proper divisors (14421829373300).

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

10111422011020 is a wasteful number, since it uses less digits than its factorization.

10111422011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693823 (or 693821 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10111422011020 its reverse (2011022411101), we get a palindrome (12122444422121).

The spelling of 10111422011020 in words is "ten trillion, one hundred eleven billion, four hundred twenty-two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 3919 7838 15676 19595 39190 43109 66623 78380 86218 133246 172436 215545 266492 333115 431090 666230 689867 732853 862180 1332460 1379734 1465706 2759468 2931412 3449335 3664265 6898670 7328530 7588537 11727739 13797340 14657060 15177074 23455478 30354148 37942685 46910956 58638695 75885370 117277390 129005129 151770740 234554780 258010258 516020516 645025645 1290051290 2580102580 2703588773 5407177546 10814355092 13517943865 27035887730 29739476503 45961009141 54071775460 59478953006 91922018282 118957906012 148697382515 183844036564 229805045705 297394765030 459610091410 505571100551 594789530060 919220182820 1011142201102 2022284402204 2527855502755 5055711005510 10111422011020