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30023021002032 = 243425938934019
BaseRepresentation
bin1101101001110010001111…
…00000000111110100110000
310221022011122221202211110000
412310321013200013310300
512413344121334031112
6143504215131110000
76216043306600212
oct664710740076460
9127264587684400
1030023021002032
119625767725673
12344a7b4ba2300
13139a20a972946
1475b19c9845b2
15370e7ad867dc
hex1b4e47807d30

30023021002032 has 100 divisors (see below), whose sum is σ = 86928854397880. Its totient is φ = 10003813051392.

The previous prime is 30023021002019. The next prime is 30023021002061. The reversal of 30023021002032 is 23020012032003.

It is a happy number.

30023021002032 is a `hidden beast` number, since 300 + 2 + 302 + 10 + 0 + 20 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30023021001996 and 30023021002014.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1106482 + ... + 7827537.

Almost surely, 230023021002032 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 30023021002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43464427198940).

30023021002032 is an abundant number, since it is smaller than the sum of its proper divisors (56905833395848).

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

30023021002032 is a wasteful number, since it uses less digits than its factorization.

30023021002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936632 (or 8936617 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30023021002032 its reverse (23020012032003), we get a palindrome (53043033034035).

The spelling of 30023021002032 in words is "thirty trillion, twenty-three billion, twenty-one million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2593 5186 7779 10372 15558 20744 23337 31116 41488 46674 62232 70011 93348 124464 140022 186696 210033 280044 373392 420066 560088 840132 1120176 1680264 3360528 8934019 17868038 26802057 35736076 53604114 71472152 80406171 107208228 142944304 160812342 214416456 241218513 321624684 428832912 482437026 643249368 723655539 964874052 1286498736 1447311078 1929748104 2894622156 3859496208 5789244312 11578488624 23165911267 46331822534 69497733801 92663645068 138995467602 185327290136 208493201403 277990935204 370654580272 416986402806 555981870408 625479604209 833972805612 1111963740816 1250959208418 1667945611224 1876438812627 2501918416836 3335891222448 3752877625254 5003836833672 7505755250508 10007673667344 15011510501016 30023021002032