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10111022211213 = 3371145191076213
BaseRepresentation
bin1001001100100010011111…
…1000110010000010001101
31022210121022112002221101000
42103020213320302002031
52311124333141224323
633300534532210513
72062332361514340
oct223104770620215
938717275087330
1010111022211213
113249073498590
121173700a69a39
1358460836b321
1426d539da2457
15128026b57e43
hex93227e3208d

10111022211213 has 64 divisors (see below), whose sum is σ = 18679631155200. Its totient is φ = 5251311881280.

The previous prime is 10111022211163. The next prime is 10111022211239. The reversal of 10111022211213 is 31211222011101.

It is a happy number.

It is not a de Polignac number, because 10111022211213 - 221 = 10111020114061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111022211263) 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, 8856895 + ... + 9933107.

It is an arithmetic number, because the mean of its divisors is an integer number (291869236800).

Almost surely, 210111022211213 is an apocalyptic number.

It is an amenable number.

10111022211213 is a deficient number, since it is larger than the sum of its proper divisors (8568608943987).

10111022211213 is a wasteful number, since it uses less digits than its factorization.

10111022211213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080759 (or 1080753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10111022211213 its reverse (31211222011101), we get a palindrome (41322244222314).

The spelling of 10111022211213 in words is "ten trillion, one hundred eleven billion, twenty-two million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 4519 13557 31633 40671 49709 94899 122013 149127 284697 347963 447381 854091 1043889 1076213 1342143 3131667 3228639 7533491 9395001 9685917 11838343 22600473 29057751 35515029 67801419 82868401 106545087 203404257 248605203 319635261 745815609 2237446827 4863406547 14590219641 34043845829 43770658923 53497472017 102131537487 131311976769 160492416051 306394612461 374482304119 481477248153 919183837383 1123446912357 1444431744459 3370340737071 10111022211213