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10212312330 = 2345113136973
BaseRepresentation
bin10011000001011001…
…11000010100001010
3222100201021012220000
421200230320110022
5131403322443310
64405205143430
7511033136223
oct114054702412
928321235800
1010212312330
114370647450
121b900bab76
13c6999597c
146cc42c24a
153eb84a4c0
hex260b3850a

10212312330 has 160 divisors (see below), whose sum is σ = 30923278848. Its totient is φ = 2395785600.

The previous prime is 10212312307. The next prime is 10212312343. The reversal of 10212312330 is 3321321201.

10212312330 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 312 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 257724 + ... + 294696.

Almost surely, 210212312330 is an apocalyptic number.

10212312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461639424).

10212312330 is an abundant number, since it is smaller than the sum of its proper divisors (20710966518).

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

10212312330 is a wasteful number, since it uses less digits than its factorization.

10212312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37034 (or 37025 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10212312330 its reverse (3321321201), we get a palindrome (13533633531).

The spelling of 10212312330 in words is "ten billion, two hundred twelve million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 81 90 93 99 110 135 155 162 165 186 198 270 279 297 310 330 341 405 465 495 558 594 682 810 837 891 930 990 1023 1395 1485 1674 1705 1782 2046 2511 2790 2970 3069 3410 4185 4455 5022 5115 6138 8370 8910 9207 10230 12555 15345 18414 25110 27621 30690 36973 46035 55242 73946 92070 110919 138105 184865 221838 276210 332757 369730 406703 554595 665514 813406 998271 1109190 1146163 1220109 1663785 1996542 2033515 2292326 2440218 2994813 3327570 3438489 3660327 4067030 4991355 5730815 5989626 6100545 6876978 7320654 9982710 10315467 10980981 11461630 12201090 12607793 14974065 17192445 18301635 20630934 21961962 25215586 29948130 30946401 32942943 34384890 36603270 37823379 51577335 54904905 61892802 63038965 65885886 75646758 92839203 103154670 109809810 113470137 126077930 154732005 164714715 185678406 189116895 226940274 309464010 329429430 340410411 378233790 464196015 567350685 680820822 928392030 1021231233 1134701370 1702052055 2042462466 3404104110 5106156165 10212312330