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101051106068 = 221121639371367
BaseRepresentation
bin101111000011100011…
…1011000001100010100
3100122211102111001201002
41132013013120030110
53123423040343233
6114231111522432
710205066141453
oct1360707301424
9318742431632
10101051106068
1139945795700
1217701989418
1396b55015b3
144c688b2b9a
1529666636e8
hex17871d8314

101051106068 has 72 divisors (see below), whose sum is σ = 195921665856. Its totient is φ = 45568448640.

The previous prime is 101051106067. The next prime is 101051106113. The reversal of 101051106068 is 860601150101.

It is a super-2 number, since 2×1010511060682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101051106068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101051106067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73921121 + ... + 73922487.

It is an arithmetic number, because the mean of its divisors is an integer number (2721134248).

Almost surely, 2101051106068 is an apocalyptic number.

It is an amenable number.

101051106068 is a deficient number, since it is larger than the sum of its proper divisors (94870559788).

101051106068 is a wasteful number, since it uses less digits than its factorization.

101051106068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

Adding to 101051106068 its reverse (860601150101), we get a palindrome (961652256169).

The spelling of 101051106068 in words is "one hundred one billion, fifty-one million, one hundred six thousand, sixty-eight".

Divisors: 1 2 4 11 22 44 121 163 242 326 484 652 937 1367 1793 1874 2734 3586 3748 5468 7172 10307 15037 19723 20614 30074 39446 41228 60148 78892 113377 152731 165407 222821 226754 305462 330814 445642 453508 610924 661628 891284 1280879 1680041 2451031 2561758 3360082 4902062 5123516 6720164 9804124 14089669 18480451 26961341 28179338 36960902 53922682 56358676 73921804 107845364 154986359 208783277 309972718 417566554 619945436 835133108 2296616047 4593232094 9186464188 25262776517 50525553034 101051106068