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232033001020 = 2251719931111027
BaseRepresentation
bin1101100000011000111…
…1101001111000111100
3211011220210000201222121
43120012033221320330
512300200422013040
6254332224252324
722522664652352
oct3300617517074
9734823021877
10232033001020
118a44a641a67
1238b774710a4
1318b5a944552
14b3325357d2
1560807cdc4a
hex36063e9e3c

232033001020 has 96 divisors (see below), whose sum is σ = 520239283200. Its totient is φ = 86627312640.

The previous prime is 232033000963. The next prime is 232033001023. The reversal of 232033001020 is 20100330232.

It is a junction number, because it is equal to n+sod(n) for n = 232033000985 and 232033001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232033001023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21036747 + ... + 21047773.

It is an arithmetic number, because the mean of its divisors is an integer number (5419159200).

Almost surely, 2232033001020 is an apocalyptic number.

232033001020 is a gapful number since it is divisible by the number (20) 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 232033001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260119641600).

232033001020 is an abundant number, since it is smaller than the sum of its proper divisors (288206282180).

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

232033001020 is a wasteful number, since it uses less digits than its factorization.

232033001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11563 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 232033001020 its reverse (20100330232), we get a palindrome (252133331252).

The spelling of 232033001020 in words is "two hundred thirty-two billion, thirty-three million, one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 311 340 398 622 796 995 1244 1555 1990 3110 3383 3980 5287 6220 6766 10574 11027 13532 16915 21148 22054 26435 33830 44108 52870 55135 61889 67660 105740 110270 123778 187459 220540 247556 309445 374918 618890 749836 937295 1052113 1237780 1874590 2104226 2194373 3429397 3749180 4208452 4388746 5260565 6858794 8777492 10521130 10971865 13717588 17146985 21042260 21943730 34293970 37304341 43887460 58299749 68587940 74608682 116599498 149217364 186521705 233198996 291498745 373043410 582997490 682450003 746086820 1165994980 1364900006 2729800012 3412250015 6824500030 11601650051 13649000060 23203300102 46406600204 58008250255 116016500510 232033001020