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23132033213130 = 23251923023235519
BaseRepresentation
bin1010100001001110110001…
…00111110110001011001010
310000220101211011111221210200
411100213120213312023022
511012443401000310010
6121110413115353030
74605143230045302
oct520473047661312
9100811734457720
1023132033213130
117409270774a76
122717187152776
13cba458cc114a
1459d84c682602
152a1ab5bb1cc0
hex1509d89f62ca

23132033213130 has 144 divisors (see below), whose sum is σ = 63496591441920. Its totient is φ = 5841924130368.

The previous prime is 23132033213089. The next prime is 23132033213167. The reversal of 23132033213130 is 3131233023132.

23132033213130 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 20 + 3 + 321 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23132033213094 and 23132033213103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98099511 + ... + 98335029.

It is an arithmetic number, because the mean of its divisors is an integer number (440948551680).

Almost surely, 223132033213130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132033213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31748295720960).

23132033213130 is an abundant number, since it is smaller than the sum of its proper divisors (40364558228790).

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

23132033213130 is a wasteful number, since it uses less digits than its factorization.

23132033213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238593 (or 238571 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 23132033213130 its reverse (3131233023132), we get a palindrome (26263266236262).

The spelling of 23132033213130 in words is "twenty-three trillion, one hundred thirty-two billion, thirty-three million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1710 1805 2166 3023 3249 3610 5415 6046 6498 9069 10830 15115 16245 18138 27207 30230 32490 45345 54414 57437 90690 114874 136035 172311 235519 272070 287185 344622 471038 516933 574370 706557 861555 1033866 1091303 1177595 1413114 1723110 2119671 2182606 2355190 2584665 3273909 3532785 4239342 4474861 5169330 5456515 6547818 7065570 8949722 9821727 10598355 10913030 13424583 16369545 19643454 21196710 22374305 26849166 32739090 40273749 44748610 49108635 67122915 80547498 85022359 98217270 134245830 170044718 201368745 255067077 402737490 425111795 510134154 711973937 765201231 850223590 1275335385 1423947874 1530402462 2135921811 2550670770 3559869685 3826006155 4271843622 6407765433 7119739370 7652012310 10679609055 12815530866 13527504803 21359218110 27055009606 32038827165 40582514409 64077654330 67637524015 81165028818 121747543227 135275048030 202912572045 243495086454 257022591257 405825144090 514045182514 608737716135 771067773771 1217475432270 1285112956285 1542135547542 2313203321313 2570225912570 3855338868855 4626406642626 7710677737710 11566016606565 23132033213130