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100212323440 = 2452967644701
BaseRepresentation
bin101110101010100011…
…1101011010001110000
3100120122222011111020211
41131111013223101300
53120213323322230
6114011545513504
710145232460165
oct1352507532160
9316588144224
10100212323440
1139555275919
1217508aa2894
1395b07c0008
144bc933006c
152917bca42a
hex17551eb470

100212323440 has 80 divisors (see below), whose sum is σ = 244625726880. Its totient is φ = 38124979200.

The previous prime is 100212323429. The next prime is 100212323459. The reversal of 100212323440 is 44323212001.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 166911 + ... + 477790.

It is an arithmetic number, because the mean of its divisors is an integer number (3057821586).

Almost surely, 2100212323440 is an apocalyptic number.

100212323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212323440 is an abundant number, since it is smaller than the sum of its proper divisors (144413403440).

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

100212323440 is a wasteful number, since it uses less digits than its factorization.

100212323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644810 (or 644804 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100212323440 its reverse (44323212001), we get a palindrome (144535535441).

The spelling of 100212323440 in words is "one hundred billion, two hundred twelve million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 67 80 116 134 145 232 268 290 335 464 536 580 670 1072 1160 1340 1943 2320 2680 3886 5360 7772 9715 15544 19430 31088 38860 77720 155440 644701 1289402 2578804 3223505 5157608 6447010 10315216 12894020 18696329 25788040 37392658 43194967 51576080 74785316 86389934 93481645 149570632 172779868 186963290 215974835 299141264 345559736 373926580 431949670 691119472 747853160 863899340 1252654043 1495706320 1727798680 2505308086 3455597360 5010616172 6263270215 10021232344 12526540430 20042464688 25053080860 50106161720 100212323440