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101301512690 = 25722913154419
BaseRepresentation
bin101111001011000001…
…0100110100111110010
3100200110212200001000102
41132112002212213302
53124431141401230
6114312014552402
710214226436100
oct1362602464762
9320425601012
10101301512690
1139a64076924
1217771808702
1397253570b1
144c8dc56c70
15297d628045
hex17960a69f2

101301512690 has 96 divisors (see below), whose sum is σ = 221106283200. Its totient is φ = 33277695360.

The previous prime is 101301512657. The next prime is 101301512693. The reversal of 101301512690 is 96215103101.

It is a super-2 number, since 2×1013015126902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (101301512693) 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 47 ways as a sum of consecutive naturals, for example, 1834301 + ... + 1888719.

It is an arithmetic number, because the mean of its divisors is an integer number (2303190450).

Almost surely, 2101301512690 is an apocalyptic number.

101301512690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101301512690 is an abundant number, since it is smaller than the sum of its proper divisors (119804770510).

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

101301512690 is a wasteful number, since it uses less digits than its factorization.

101301512690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54600 (or 54593 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

Adding to 101301512690 its reverse (96215103101), we get a palindrome (197516615791).

The spelling of 101301512690 in words is "one hundred one billion, three hundred one million, five hundred twelve thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 131 145 203 245 262 290 406 490 655 917 1015 1310 1421 1834 2030 2842 3799 4585 6419 7105 7598 9170 12838 14210 18995 26593 32095 37990 53186 54419 64190 108838 132965 186151 265930 272095 372302 380933 544190 761866 930755 1578151 1861510 1904665 2666531 3156302 3809330 5333062 7128889 7890755 11047057 13332655 14257778 15781510 22094114 26665310 35644445 49902223 55235285 71288890 77329399 99804446 110470570 154658798 206737781 249511115 349315561 386646995 413475562 499022230 698631122 773293990 1033688905 1447164467 1746577805 2067377810 2894328934 3493155610 7235822335 10130151269 14471644670 20260302538 50650756345 101301512690