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10332330230100 = 22352293859136841
BaseRepresentation
bin1001011001011010111011…
…0111111000000101010100
31100120202112212012010201010
42112112232313320011110
52323241103014330400
633550335035132220
72114325526604364
oct226265667700524
940522485163633
1010332330230100
113323a0a06274a
1211aa5845a4070
1359c447049ca8
1427a131d769a4
1512db7aabe450
hex965aedf8154

10332330230100 has 144 divisors (see below), whose sum is σ = 30032045951040. Its totient is φ = 2742667699200.

The previous prime is 10332330230093. The next prime is 10332330230149. The reversal of 10332330230100 is 103203323301.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 75437680 + ... + 75574520.

It is an arithmetic number, because the mean of its divisors is an integer number (208555874660).

Almost surely, 210332330230100 is an apocalyptic number.

10332330230100 is a gapful number since it is divisible by the number (10) 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 10332330230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016022975520).

10332330230100 is an abundant number, since it is smaller than the sum of its proper divisors (19699715720940).

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

10332330230100 is a wasteful number, since it uses less digits than its factorization.

10332330230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138010 (or 138003 counting only the distinct ones).

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

Adding to 10332330230100 its reverse (103203323301), we get a palindrome (10435533553401).

The spelling of 10332330230100 in words is "ten trillion, three hundred thirty-two billion, three hundred thirty million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 293 300 586 859 879 1172 1465 1718 1758 2577 2930 3436 3516 4295 4395 5154 5860 7325 8590 8790 10308 12885 14650 17180 17580 21475 21975 25770 29300 42950 43950 51540 64425 85900 87900 128850 136841 251687 257700 273682 410523 503374 547364 684205 755061 821046 1006748 1258435 1368410 1510122 1642092 2052615 2516870 2736820 3020244 3421025 3775305 4105230 5033740 6292175 6842050 7550610 8210460 10263075 12584350 13684100 15101220 18876525 20526150 25168700 37753050 40094413 41052300 75506100 80188826 117546419 120283239 160377652 200472065 235092838 240566478 352639257 400944130 470185676 481132956 587732095 601416195 705278514 801888260 1002360325 1175464190 1202832390 1410557028 1763196285 2004720650 2350928380 2405664780 2938660475 3007080975 3526392570 4009441300 5877320950 6014161950 7052785140 8815981425 11754641900 12028323900 17631962850 34441100767 35263925700 68882201534 103323302301 137764403068 172205503835 206646604602 344411007670 413293209204 516616511505 688822015340 861027519175 1033233023010 1722055038350 2066466046020 2583082557525 3444110076700 5166165115050 10332330230100