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100333030232440 = 23523414241627197
BaseRepresentation
bin10110110100000010011010…
…101000000101000101111000
3111011020202002101110012212001
4112310002122220011011320
5101122324021214414230
6553220205140230344
730063552010333435
oct2664023250050570
9434222071405761
10100333030232440
1129a72aa9986a35
12b30526899b3b4
1343ca497077b95
141aac2049d4b8c
15b8ed5bb1e0ca
hex5b409aa05178

100333030232440 has 128 divisors (see below), whose sum is σ = 241367265659520. Its totient is φ = 37443099443200.

The previous prime is 100333030232363. The next prime is 100333030232459. The reversal of 100333030232440 is 44232030333001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100333030232399 and 100333030232408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159656922 + ... + 160284118.

It is an arithmetic number, because the mean of its divisors is an integer number (1885681762965).

Almost surely, 2100333030232440 is an apocalyptic number.

100333030232440 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 100333030232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120683632829760).

100333030232440 is an abundant number, since it is smaller than the sum of its proper divisors (141034235427080).

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

100333030232440 is a wasteful number, since it uses less digits than its factorization.

100333030232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631513 (or 631509 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 100333030232440 its reverse (44232030333001), we get a palindrome (144565060565441).

The spelling of 100333030232440 in words is "one hundred trillion, three hundred thirty-three billion, thirty million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 3772 4241 4715 7544 8482 9430 16964 18860 21205 33928 37720 42410 84820 97543 169640 173881 195086 347762 390172 487715 627197 695524 780344 869405 975430 1254394 1391048 1738810 1950860 2508788 3135985 3477620 3901720 3999263 5017576 6271970 6955240 7998526 12543940 14425531 15997052 19996315 25087880 25715077 28851062 31994104 39992630 51430154 57702124 72127655 79985260 102860308 115404248 128575385 144255310 159970520 205720616 257150770 288510620 514301540 577021240 591446771 1028603080 1182893542 2365787084 2659942477 2957233855 4731574168 5319884954 5914467710 10639769908 11828935420 13299712385 21279539816 23657870840 26599424770 53198849540 61178676971 106397699080 109057641557 122357353942 218115283114 244714707884 305893384855 436230566228 489429415768 545288207785 611786769710 872461132456 1090576415570 1223573539420 2181152831140 2447147078840 2508325755811 4362305662280 5016651511622 10033303023244 12541628779055 20066606046488 25083257558110 50166515116220 100333030232440