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3023300011332 = 22319471429319739
BaseRepresentation
bin101011111111101010101…
…110010010010101000100
3101201000122222100111012210
4223333222232102111010
5344013204300330312
610232515043343420
7431266123041216
oct53775256222504
911630588314183
103023300011332
11a661a1048097
12409b29081b70
1318c132ac2063
14a648559c5b6
155399a065e3c
hex2bfeab92544

3023300011332 has 96 divisors (see below), whose sum is σ = 7584556492800. Its totient is φ = 934300282752.

The previous prime is 3023300011331. The next prime is 3023300011337. The reversal of 3023300011332 is 2331100033203.

It is a junction number, because it is equal to n+sod(n) for n = 3023300011299 and 3023300011308.

It is not an unprimeable number, because it can be changed into a prime (3023300011331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153153919 + ... + 153173657.

It is an arithmetic number, because the mean of its divisors is an integer number (79005796800).

Almost surely, 23023300011332 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 3023300011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792278246400).

3023300011332 is an abundant number, since it is smaller than the sum of its proper divisors (4561256481468).

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

3023300011332 is a wasteful number, since it uses less digits than its factorization.

3023300011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34105 (or 34103 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3023300011332 its reverse (2331100033203), we get a palindrome (5354400044535).

The spelling of 3023300011332 in words is "three trillion, twenty-three billion, three hundred million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3572 5358 10716 14293 19739 28586 39478 42879 57172 59217 78956 85758 118434 171516 236868 271567 375041 543134 671771 750082 814701 927733 1086268 1125123 1343542 1500164 1629402 1855466 2015313 2250246 2687084 2783199 3258804 3710932 4030626 4500492 5566398 8061252 11132796 12763649 17626927 25527298 35253854 38290947 51054596 52880781 70507708 76581894 105761562 153163788 211523124 282129527 564259054 846388581 1128518108 1692777162 3385554324 5360461013 10720922026 13260087769 16081383039 21441844052 26520175538 32162766078 39780263307 53040351076 64325532156 79560526614 159121053228 251941667611 503883335222 755825002833 1007766670444 1511650005666 3023300011332