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10315355232104 = 23133128347923603
BaseRepresentation
bin1001011000011011101100…
…0101011001011101101000
31100112010201211201220002122
42112012323011121131220
52323001321414411404
633534450410050412
72113155055524326
oct226067305313550
940463654656078
1010315355232104
11331779912048a
1211a7227719a08
1359a97029b990
142793a1724d16
1512d4d56d53be
hex961bb159768

10315355232104 has 128 divisors (see below), whose sum is σ = 21622925721600. Its totient is φ = 4581295476480.

The previous prime is 10315355232071. The next prime is 10315355232157. The reversal of 10315355232104 is 40123255351301.

It is a happy number.

10315355232104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437023967 + ... + 437047569.

It is an arithmetic number, because the mean of its divisors is an integer number (168929107200).

Almost surely, 210315355232104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315355232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811462860800).

10315355232104 is an abundant number, since it is smaller than the sum of its proper divisors (11307570489496).

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

10315355232104 is a wasteful number, since it uses less digits than its factorization.

10315355232104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24415 (or 24411 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 10315355232104 in words is "ten trillion, three hundred fifteen billion, three hundred fifty-five million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 283 403 479 566 806 958 1132 1612 1916 2264 3224 3679 3832 6227 7358 8773 12454 14716 14849 17546 23603 24908 29432 29698 35092 47206 49816 59396 70184 94412 114049 118792 135557 188824 193037 228098 271114 306839 386074 456196 542228 613678 731693 772148 912392 1084456 1227356 1463386 1544296 1762241 2454712 2926772 3524482 4202267 5853544 6679649 7048964 8404534 9512009 11305837 13359298 14097928 16809068 19024018 22611674 26718596 33618136 38048036 45223348 53437192 54629471 76096072 86835437 90446696 109258942 146975881 173670874 207069119 218517884 293951762 347341748 350480947 414138238 437035768 587903524 694683496 700961894 828276476 1175807048 1401923788 1656552952 2691898547 2803847576 3199551871 4556252311 5383797094 6399103742 9112504622 10767594188 12798207484 18225009244 21535188376 25596414968 36450018488 41594174323 83188348646 99186108001 166376697292 198372216002 332753394584 396744432004 793488864008 1289419404013 2578838808026 5157677616052 10315355232104