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101373930 = 2345719941
BaseRepresentation
bin1100000101011…
…01011111101010
321001202022220000
412002231133222
5201422431210
614020443430
72340443550
oct602553752
9231668800
10101373930
115224a809
1229b49576
1318004c98
14d66bbd0
158d76ac0
hex60ad7ea

101373930 has 160 divisors (see below), whose sum is σ = 328268160. Its totient is φ = 21928320.

The previous prime is 101373917. The next prime is 101373947. The reversal of 101373930 is 39373101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101373894 and 101373903.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107260 + ... + 108200.

It is an arithmetic number, because the mean of its divisors is an integer number (2051676).

Almost surely, 2101373930 is an apocalyptic number.

101373930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101373930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164134080).

101373930 is an abundant number, since it is smaller than the sum of its proper divisors (226894230).

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

101373930 is a wasteful number, since it uses less digits than its factorization.

101373930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 101373930 is about 10068.4621467233. The cubic root of 101373930 is about 466.2749609888.

The spelling of 101373930 in words is "one hundred one million, three hundred seventy-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 513 567 570 630 665 798 810 855 941 945 1026 1134 1197 1330 1539 1710 1882 1890 1995 2394 2565 2823 2835 3078 3591 3990 4705 5130 5646 5670 5985 6587 7182 7695 8469 9410 10773 11970 13174 14115 15390 16938 17879 17955 19761 21546 25407 28230 32935 35758 35910 39522 42345 50814 53637 53865 59283 65870 76221 84690 89395 98805 107274 107730 118566 125153 127035 152442 160911 177849 178790 197610 250306 254070 268185 296415 321822 355698 375459 381105 482733 533547 536370 592830 625765 750918 762210 804555 889245 965466 1067094 1126377 1251530 1448199 1609110 1778490 1877295 2252754 2413665 2667735 2896398 3379131 3754590 4827330 5335470 5631885 6758262 7240995 10137393 11263770 14481990 16895655 20274786 33791310 50686965 101373930