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100231324440 = 23351324942373
BaseRepresentation
bin101110101011001000…
…0001010001100011000
3100120201021220211201120
41131112100022030120
53120233204340230
6114013505045240
710145553125532
oct1352620121430
9316637824646
10100231324440
1139564a73625
1217513326820
1395b4713800
144bcba78852
1529196d0310
hex175640a318

100231324440 has 96 divisors (see below), whose sum is σ = 325603599120. Its totient is φ = 24672321024.

The previous prime is 100231324421. The next prime is 100231324469. The reversal of 100231324440 is 44423132001.

100231324440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100231324440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2450907 + ... + 2491466.

Almost surely, 2100231324440 is an apocalyptic number.

100231324440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100231324440 is an abundant number, since it is smaller than the sum of its proper divisors (225372274680).

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

100231324440 is a wasteful number, since it uses less digits than its factorization.

100231324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942413 (or 4942396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100231324440 its reverse (44423132001), we get a palindrome (144654456441).

The spelling of 100231324440 in words is "one hundred billion, two hundred thirty-one million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 5070 6760 10140 20280 4942373 9884746 14827119 19769492 24711865 29654238 39538984 49423730 59308476 64250849 74135595 98847460 118616952 128501698 148271190 192752547 197694920 257003396 296542380 321254245 385505094 514006792 593084760 642508490 771010188 835261037 963762735 1285016980 1542020376 1670522074 1927525470 2505783111 2570033960 3341044148 3855050940 4176305185 5011566222 6682088296 7710101880 8352610370 10023132444 12528915555 16705220740 20046264888 25057831110 33410441480 50115662220 100231324440