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10331310312232 = 2371319967772403
BaseRepresentation
bin1001011001010111001000…
…0101001100101100101000
31100120122220210000221102021
42112111302011030230220
52323232010414442412
633550045522514224
72114261333466040
oct226256205145450
940518823027367
1010331310312232
113323536375318
1211aa33ab05974
1359c313957bb0
1427a076722720
1512db1b2a6607
hex9657214cb28

10331310312232 has 128 divisors (see below), whose sum is σ = 25122285619200. Its totient is φ = 3867991481088.

The previous prime is 10331310312149. The next prime is 10331310312277. The reversal of 10331310312232 is 23221301313301.

It is a junction number, because it is equal to n+sod(n) for n = 10331310312197 and 10331310312206.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12989343 + ... + 13761745.

It is an arithmetic number, because the mean of its divisors is an integer number (196267856400).

Almost surely, 210331310312232 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 10331310312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561142809600).

10331310312232 is an abundant number, since it is smaller than the sum of its proper divisors (14790975306968).

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

10331310312232 is a wasteful number, since it uses less digits than its factorization.

10331310312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773415 (or 773411 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10331310312232 its reverse (23221301313301), we get a palindrome (33552611625533).

The spelling of 10331310312232 in words is "ten trillion, three hundred thirty-one billion, three hundred ten million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 967 988 1064 1729 1934 1976 3458 3868 6769 6916 7736 12571 13538 13832 18373 25142 27076 36746 50284 54152 73492 87997 100568 128611 146984 175994 238849 257222 351988 477698 514444 703976 772403 955396 1028888 1544806 1671943 1910792 3089612 3343886 5406821 6179224 6687772 10041239 10813642 13375544 14675657 20082478 21627284 29351314 40164956 43254568 58702628 70288673 80329912 102729599 117405256 140577346 190783541 205459198 281154692 381567082 410918396 562309384 746913701 763134164 821836792 1335484787 1493827402 1526268328 2670969574 2987654804 5228395907 5341939148 5975309608 9709878113 10456791814 10683878296 14191360319 19419756226 20913583628 28382720638 38839512452 41827167256 56765441276 67969146791 77679024904 99339522233 113530882552 135938293582 184487684147 198679044466 271876587164 368975368294 397358088932 543753174328 737950736588 794716177864 1291413789029 1475901473176 2582827578058 5165655156116 10331310312232