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100331340240 = 24352572696047
BaseRepresentation
bin101110101110000110…
…1101100000111010000
3100120222021010011121110
41131130031230013100
53120434310341430
6114031440453320
710151206215015
oct1353415540720
9316867104543
10100331340240
1139606475a0a
121754091a240
1395cc361561
144bdb07170c
1529233897b0
hex175c36c1d0

100331340240 has 160 divisors (see below), whose sum is σ = 313449937920. Its totient is φ = 26547453952.

The previous prime is 100331340203. The next prime is 100331340289. The reversal of 100331340240 is 42043133001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16588897 + ... + 16594943.

It is an arithmetic number, because the mean of its divisors is an integer number (1959062112).

Almost surely, 2100331340240 is an apocalyptic number.

100331340240 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 100331340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156724968960).

100331340240 is an abundant number, since it is smaller than the sum of its proper divisors (213118597680).

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

100331340240 is a wasteful number, since it uses less digits than its factorization.

100331340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100331340240 its reverse (42043133001), we get a palindrome (142374473241).

The spelling of 100331340240 in words is "one hundred billion, three hundred thirty-one million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 269 514 538 771 807 1028 1076 1285 1345 1542 1614 2056 2152 2570 2690 3084 3228 3855 4035 4112 4304 5140 5380 6047 6168 6456 7710 8070 10280 10760 12094 12336 12912 15420 16140 18141 20560 21520 24188 30235 30840 32280 36282 48376 60470 61680 64560 69133 72564 90705 96752 120940 138266 145128 181410 207399 241880 276532 290256 345665 362820 414798 483760 553064 691330 725640 829596 1036995 1106128 1382660 1451280 1554079 1626643 1659192 2073990 2765320 3108158 3253286 3318384 4147980 4662237 4879929 5530640 6216316 6506572 7770395 8133215 8295960 9324474 9759858 12432632 13013144 15540790 16266430 16591920 18648948 19519716 23311185 24399645 24865264 26026288 31081580 32532860 37297896 39039432 46622370 48799290 62163160 65065720 74595792 78078864 93244740 97598580 124326320 130131440 186489480 195197160 372978960 390394320 418047251 836094502 1254141753 1672189004 2090236255 2508283506 3344378008 4180472510 5016567012 6270708765 6688756016 8360945020 10033134024 12541417530 16721890040 20066268048 25082835060 33443780080 50165670120 100331340240