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23142324330 = 23251971190613
BaseRepresentation
bin10101100011011000…
…111101100001101010
32012201211100212212100
4111203120331201222
5334343413334310
614344220154230
71446326340216
oct254330754152
965654325770
1023142324330
1198a6269884
12459a398976
13224a701448
141197779946
15906a74ec0
hex56363d86a

23142324330 has 96 divisors (see below), whose sum is σ = 64229293440. Its totient is φ = 5764106880.

The previous prime is 23142324319. The next prime is 23142324343. The reversal of 23142324330 is 3342324132.

23142324330 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 2 + 324 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23142324294 and 23142324303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26104 + ... + 216716.

It is an arithmetic number, because the mean of its divisors is an integer number (669055140).

Almost surely, 223142324330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142324330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32114646720).

23142324330 is an abundant number, since it is smaller than the sum of its proper divisors (41086969110).

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

23142324330 is a wasteful number, since it uses less digits than its factorization.

23142324330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190716 (or 190713 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23142324330 its reverse (3342324132), we get a palindrome (26484648462).

The spelling of 23142324330 in words is "twenty-three billion, one hundred forty-two million, three hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 71 90 95 114 142 171 190 213 285 342 355 426 570 639 710 855 1065 1278 1349 1710 2130 2698 3195 4047 6390 6745 8094 12141 13490 20235 24282 40470 60705 121410 190613 381226 571839 953065 1143678 1715517 1906130 2859195 3431034 3621647 5718390 7243294 8577585 10864941 13533523 17155170 18108235 21729882 27067046 32594823 36216470 40600569 54324705 65189646 67667615 81201138 108649410 121801707 135335230 162974115 203002845 243603414 257136937 325948230 406005690 514273874 609008535 771410811 1218017070 1285684685 1542821622 2314232433 2571369370 3857054055 4628464866 7714108110 11571162165 23142324330