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15101326313140 = 225191372711070389
BaseRepresentation
bin1101101111000000110100…
…1100001100011010110100
31222110200011101200102002011
43123300031030030122310
53434410004014010030
652041241544054004
73116014641510214
oct333601514143264
958420141612064
1015101326313140
1148a2489016341
12183a8a3764304
1385708374aca2
143a2c9db46244
151b2c4803ab2a
hexdbc0d30c6b4

15101326313140 has 96 divisors (see below), whose sum is σ = 33749653593600. Its totient is φ = 5659869219840.

The previous prime is 15101326313123. The next prime is 15101326313141. The reversal of 15101326313140 is 4131362310151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15101326313141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13573066 + ... + 14643454.

It is an arithmetic number, because the mean of its divisors is an integer number (351558891600).

Almost surely, 215101326313140 is an apocalyptic number.

15101326313140 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 15101326313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874826796800).

15101326313140 is an abundant number, since it is smaller than the sum of its proper divisors (18648327280460).

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

15101326313140 is a wasteful number, since it uses less digits than its factorization.

15101326313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070825 (or 1070823 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 15101326313140 its reverse (4131362310151), we get a palindrome (19232688623291).

The spelling of 15101326313140 in words is "fifteen trillion, one hundred one billion, three hundred twenty-six million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 271 274 380 542 548 685 1084 1355 1370 2603 2710 2740 5149 5206 5420 10298 10412 13015 20596 25745 26030 37127 51490 52060 74254 102980 148508 185635 371270 705413 742540 1070389 1410826 2140778 2821652 3527065 4281556 5351945 7054130 10703890 14108260 20337391 21407780 40674782 81349564 101686955 146643293 203373910 290075419 293286586 406747820 580150838 586573172 733216465 1160301676 1450377095 1466432930 2786222567 2900754190 2932865860 5511432961 5572445134 5801508380 11022865922 11144890268 13931112835 22045731844 27557164805 27862225670 39740332403 55114329610 55724451340 79480664806 110228659220 158961329612 198701662015 397403324030 755066315657 794806648060 1510132631314 3020265262628 3775331578285 7550663156570 15101326313140