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100324101042 = 2331137319121
BaseRepresentation
bin101110101101111001…
…0000100101110110010
3100120221202111101022000
41131123302010232302
53120430432213132
6114031021354430
710151060534334
oct1353362045662
9316852441260
10100324101042
1139602381000
121753a408a16
1395ca9c84c9
144bda109454
15292290987c
hex175bc84bb2

100324101042 has 128 divisors (see below), whose sum is σ = 248592119040. Its totient is φ = 29983219200.

The previous prime is 100324101029. The next prime is 100324101043. The reversal of 100324101042 is 240101423001.

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

It is not an unprimeable number, because it can be changed into a prime (100324101043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5237242 + ... + 5256362.

It is an arithmetic number, because the mean of its divisors is an integer number (1942125930).

Almost surely, 2100324101042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100324101042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124296059520).

100324101042 is an abundant number, since it is smaller than the sum of its proper divisors (148268017998).

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

100324101042 is a wasteful number, since it uses less digits than its factorization.

100324101042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19238 (or 19210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100324101042 its reverse (240101423001), we get a palindrome (340425524043).

The spelling of 100324101042 in words is "one hundred billion, three hundred twenty-four million, one hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 99 121 146 198 219 242 297 363 438 594 657 726 803 1089 1314 1331 1606 1971 2178 2409 2662 3267 3942 3993 4818 6534 7227 7986 8833 11979 14454 17666 19121 21681 23958 26499 35937 38242 43362 52998 57363 71874 79497 97163 114726 158994 172089 194326 210331 238491 291489 344178 420662 476982 516267 582978 630993 874467 1032534 1261986 1395833 1748934 1892979 2313641 2623401 2791666 3785958 4187499 4627282 5246802 5678937 6940923 8374998 11357874 12562497 13881846 15354163 20822769 25124994 25450051 30708326 37687491 41645538 46062489 50900102 62468307 75374982 76350153 92124978 124936614 138187467 152700306 168895793 229050459 276374934 337791586 414562401 458100918 506687379 687151377 829124802 1013374758 1374302754 1520062137 1857853723 3040124274 3715707446 4560186411 5573561169 9120372822 11147122338 16720683507 33441367014 50162050521 100324101042