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10332021003012 = 2234611039503147
BaseRepresentation
bin1001011001011001110001…
…1100010001001100000100
31100120201202022022202220000
42112112130130101030010
52323234434334044022
633550244231241300
72114315053324602
oct226263434211404
940521668282800
1010332021003012
113323870556875
1211aa4b8b19230
1359c3c7c6b397
1427a102c80872
1512db5d88b6ac
hex9659c711304

10332021003012 has 120 divisors (see below), whose sum is σ = 27479206634880. Its totient is φ = 3384280751040.

The previous prime is 10332021002929. The next prime is 10332021003043. The reversal of 10332021003012 is 21030012023301.

10332021003012 is a `hidden beast` number, since 10 + 332 + 0 + 21 + 0 + 0 + 301 + 2 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20283223 + ... + 20786369.

It is an arithmetic number, because the mean of its divisors is an integer number (228993388624).

Almost surely, 210332021003012 is an apocalyptic number.

10332021003012 is a gapful number since it is divisible by the number (12) 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 10332021003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739603317440).

10332021003012 is an abundant number, since it is smaller than the sum of its proper divisors (17147185631868).

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

10332021003012 is a wasteful number, since it uses less digits than its factorization.

10332021003012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504263 (or 504252 counting only the distinct ones).

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

Adding to 10332021003012 its reverse (21030012023301), we get a palindrome (31362033026313).

The spelling of 10332021003012 in words is "ten trillion, three hundred thirty-two billion, twenty-one million, three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1039 1098 1647 2078 2196 3117 3294 4156 4941 6234 6588 9351 9882 12468 18702 19764 28053 37404 56106 63379 84159 112212 126758 168318 190137 253516 336636 380274 503147 570411 760548 1006294 1140822 1509441 1711233 2012588 2281644 3018882 3422466 4528323 5133699 6037764 6844932 9056646 10267398 13584969 18113292 20534796 27169938 30691967 40754907 54339876 61383934 81509814 92075901 122767868 163019628 184151802 276227703 368303604 522769733 552455406 828683109 1045539466 1104910812 1568309199 1657366218 2091078932 2486049327 3136618398 3314732436 4704927597 4972098654 6273236796 9409855194 9944197308 14114782791 18819710388 28229565582 31888953713 42344348373 56459131164 63777907426 84688696746 95666861139 127555814852 169377393492 191333722278 287000583417 382667444556 574001166834 861001750251 1148002333668 1722003500502 2583005250753 3444007001004 5166010501506 10332021003012