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10011111020148 = 2237977279743613
BaseRepresentation
bin1001000110101110010010…
…1101110101011001110100
31022110001102112120120002010
42101223210231311121310
52303010223410121043
633143012500444220
72052164443431120
oct221534455653164
938401375516063
1010011111020148
11320a7631aa9a7
1211582789a9670
13578075084664
1426877ca5c580
1512562a612133
hex91ae4b75674

10011111020148 has 96 divisors (see below), whose sum is σ = 26733788169984. Its totient is φ = 2856302696448.

The previous prime is 10011111020147. The next prime is 10011111020149. The reversal of 10011111020148 is 84102011111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10011111020147) and next prime (10011111020149).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011111020147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229522390 + ... + 229566002.

It is an arithmetic number, because the mean of its divisors is an integer number (278476960104).

Almost surely, 210011111020148 is an apocalyptic number.

It is an amenable number.

10011111020148 is an abundant number, since it is smaller than the sum of its proper divisors (16722677149836).

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

10011111020148 is a wasteful number, since it uses less digits than its factorization.

10011111020148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47401 (or 47399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 10011111020148 its reverse (84102011111001), we get a palindrome (94113122131149).

The spelling of 10011111020148 in words is "ten trillion, eleven billion, one hundred eleven million, twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 977 1954 2797 2931 3908 5594 5862 6839 8391 11188 11724 13678 16782 19579 20517 27356 33564 39158 41034 43613 58737 78316 82068 87226 117474 130839 174452 234948 261678 305291 523356 610582 915873 1221164 1831746 2732669 3663492 5465338 8198007 10930676 16396014 19128683 32792028 38257366 42609901 57386049 76514732 85219802 114772098 121985561 127829703 170439604 229544196 243971122 255659406 298269307 365956683 487942244 511318812 596538614 731913366 853898927 894807921 1193077228 1463826732 1707797854 1789615842 2561696781 3415595708 3579231684 5123393562 10246787124 119179893097 238359786194 357539679291 476719572388 715079358582 834259251679 1430158717164 1668518503358 2502777755037 3337037006716 5005555510074 10011111020148