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101203040 = 25517291283
BaseRepresentation
bin1100000100000…
…11110001100000
321001102122110202
412002003301200
5201401444130
614013044332
72336132411
oct602036140
9231378422
10101203040
1152143384
1229a866a8
1317c75273
14d625808
158d41145
hex6083c60

101203040 has 96 divisors (see below), whose sum is σ = 262090080. Its totient is φ = 36757504.

The previous prime is 101203027. The next prime is 101203043. The reversal of 101203040 is 40302101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101203043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78239 + ... + 79521.

It is an arithmetic number, because the mean of its divisors is an integer number (2730105).

Almost surely, 2101203040 is an apocalyptic number.

101203040 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 101203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131045040).

101203040 is an abundant number, since it is smaller than the sum of its proper divisors (160887040).

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

101203040 is a wasteful number, since it uses less digits than its factorization.

101203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 101203040 is about 10059.9721669595. The cubic root of 101203040 is about 466.0128076447.

Adding to 101203040 its reverse (40302101), we get a palindrome (141505141).

The spelling of 101203040 in words is "one hundred one million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 145 160 170 232 272 290 340 464 493 544 580 680 928 986 1160 1283 1360 1972 2320 2465 2566 2720 3944 4640 4930 5132 6415 7888 9860 10264 12830 15776 19720 20528 21811 25660 37207 39440 41056 43622 51320 74414 78880 87244 102640 109055 148828 174488 186035 205280 218110 297656 348976 372070 436220 595312 632519 697952 744140 872440 1190624 1265038 1488280 1744880 2530076 2976560 3162595 3489760 5060152 5953120 6325190 10120304 12650380 20240608 25300760 50601520 101203040