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101203243440 = 24351322495149
BaseRepresentation
bin101111001000000101…
…1101111000110110000
3100200020000202102221120
41132100023233012300
53124231012242230
6114254144422240
710211624242605
oct1362013570660
9320200672846
10101203243440
1139a13657772
1217744917980
13970ab9b300
144c80b966ac
152974bb6310
hex17902ef1b0

101203243440 has 120 divisors (see below), whose sum is σ = 339719662800. Its totient is φ = 24911557632.

The previous prime is 101203243429. The next prime is 101203243459. The reversal of 101203243440 is 44342302101.

It is a tau number, because it is divible by the number of its divisors (120).

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 101203243440.

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, 1207015 + ... + 1288134.

It is an arithmetic number, because the mean of its divisors is an integer number (2830997190).

Almost surely, 2101203243440 is an apocalyptic number.

101203243440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101203243440 is an abundant number, since it is smaller than the sum of its proper divisors (238516419360).

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

101203243440 is a wasteful number, since it uses less digits than its factorization.

101203243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495191 (or 2495172 counting only the distinct ones).

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

Adding to 101203243440 its reverse (44342302101), we get a palindrome (145545545541).

The spelling of 101203243440 in words is "one hundred one billion, two hundred three million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 2495149 4990298 7485447 9980596 12475745 14970894 19961192 24951490 29941788 32436937 37427235 39922384 49902980 59883576 64873874 74854470 97310811 99805960 119767152 129747748 149708940 162184685 194621622 199611920 259495496 299417880 324369370 389243244 421680181 486554055 518990992 598835760 648738740 778486488 843360362 973108110 1265040543 1297477480 1556972976 1686720724 1946216220 2108400905 2530081086 2594954960 3373441448 3892432440 4216801810 5060162172 6325202715 6746882896 7784864880 8433603620 10120324344 12650405430 16867207240 20240648688 25300810860 33734414480 50601621720 101203243440