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101102343203420 = 2251338221279883
BaseRepresentation
bin10110111111001110111001…
…010000001010101001011100
3111020222021211010112100211022
4112333032321100022221130
5101222430044330002140
6555005435243143312
730203255212600526
oct2677167120125134
9436867733470738
10101102343203420
112a23a299007619
12b40a38a214b38
134454baa512000
141ad7545592a16
15ba4d85d280b5
hex5bf3b940aa5c

101102343203420 has 96 divisors (see below), whose sum is σ = 230028576550080. Its totient is φ = 37325421768960.

The previous prime is 101102343203417. The next prime is 101102343203453. The reversal of 101102343203420 is 24302343201101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 101102343203420.

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, 361090799 + ... + 361370681.

It is an arithmetic number, because the mean of its divisors is an integer number (2396131005730).

Almost surely, 2101102343203420 is an apocalyptic number.

101102343203420 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 101102343203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115014288275040).

101102343203420 is an abundant number, since it is smaller than the sum of its proper divisors (128926233346660).

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

101102343203420 is a wasteful number, since it uses less digits than its factorization.

101102343203420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288152 (or 288124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 101102343203420 its reverse (24302343201101), we get a palindrome (125404686404521).

The spelling of 101102343203420 in words is "one hundred one trillion, one hundred two billion, three hundred forty-three million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2197 3380 4394 8221 8788 10985 16442 21970 32884 41105 43940 82210 106873 164420 213746 279883 427492 534365 559766 1068730 1119532 1389349 1399415 2137460 2778698 2798830 3638479 5557396 5597660 6946745 7276958 13893490 14553916 18061537 18192395 27786980 36123074 36384790 47300227 72246148 72769580 90307685 94600454 180615370 189200908 236501135 361230740 473002270 614902951 946004540 1229805902 2300918143 2459611804 3074514755 4601836286 6149029510 9203672572 11504590715 12298059020 23009181430 29911935859 46018362860 59823871718 119647743436 149559679295 299119358590 388855166167 598238717180 777710332334 1555420664668 1944275830835 3888551661670 5055117160171 7777103323340 10110234320342 20220468640684 25275585800855 50551171601710 101102343203420