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10312422403014 = 2333182922433313
BaseRepresentation
bin1001011000010000110001…
…0001100010101111000110
31100111212011110002201221000
42112010030101202233012
52322424320113344024
633533243401234130
72113022304063234
oct226041421425706
940455143081830
1010312422403014
113316523669596
1211a6749492946
1359a5c37a5354
142791a4005954
1512d3b2eadcc9
hex9610c462bc6

10312422403014 has 128 divisors (see below), whose sum is σ = 23701982515200. Its totient is φ = 3320091348480.

The previous prime is 10312422402973. The next prime is 10312422403033. The reversal of 10312422403014 is 41030422421301.

10312422403014 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 242 + 2 + 403 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3112712622 + ... + 3112715934.

It is an arithmetic number, because the mean of its divisors is an integer number (185171738400).

Almost surely, 210312422403014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312422403014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850991257600).

10312422403014 is an abundant number, since it is smaller than the sum of its proper divisors (13389560112186).

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

10312422403014 is a wasteful number, since it uses less digits than its factorization.

10312422403014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10312422403014 its reverse (41030422421301), we get a palindrome (51342844824315).

The spelling of 10312422403014 in words is "ten trillion, three hundred twelve billion, four hundred twenty-two million, four hundred three thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 829 837 1658 1674 2243 2487 3313 4486 4974 6626 6729 7461 9939 13458 14922 19878 20187 22383 25699 29817 40374 44766 51398 59634 60561 69533 77097 89451 102703 121122 139066 154194 178902 205406 208599 231291 308109 417198 462582 616218 625797 693873 924327 1251594 1387746 1848654 1859447 1877391 2746477 2772981 3718894 3754782 5492954 5545962 5578341 7431059 8239431 11156682 14862118 16478862 16735023 22293177 24718293 33470046 44586354 49436586 50205069 57642857 66879531 74154879 85140787 100410138 115285714 133759062 148309758 170281574 172928571 200638593 230362829 255422361 345857142 401277186 460725658 510844722 518785713 691088487 766267083 1037571426 1382176974 1532534166 1556357139 2073265461 2298801249 3112714278 4146530922 4597602498 6160347911 6219796383 12320695822 12439592766 18481043733 36962087466 55443131199 110886262398 166329393597 190970785241 332658787194 381941570482 572912355723 1145824711446 1718737067169 3437474134338 5156211201507 10312422403014