Search a number
-
+
103202111320 = 23571154076197
BaseRepresentation
bin110000000011101010…
…0110011111101011000
3100212101022222110012021
41200013110303331120
53142324220030240
6115224351224224
710312305321010
oct1400724637530
9325338873167
10103202111320
113a8499a07a0
1218002218074
13996903a279
144dd0438c40
152a4040354a
hex1807533f58

103202111320 has 128 divisors (see below), whose sum is σ = 289602293760. Its totient is φ = 32155752960.

The previous prime is 103202111317. The next prime is 103202111359. The reversal of 103202111320 is 23111202301.

It is a junction number, because it is equal to n+sod(n) for n = 103202111294 and 103202111303.

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, 16650462 + ... + 16656658.

It is an arithmetic number, because the mean of its divisors is an integer number (2262517920).

Almost surely, 2103202111320 is an apocalyptic number.

103202111320 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 103202111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144801146880).

103202111320 is an abundant number, since it is smaller than the sum of its proper divisors (186400182440).

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

103202111320 is a wasteful number, since it uses less digits than its factorization.

103202111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103202111320 its reverse (23111202301), we get a palindrome (126313313621).

The spelling of 103202111320 in words is "one hundred three billion, two hundred two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 5407 6197 10814 12394 21628 24788 27035 30985 37849 43256 43379 49576 54070 59477 61970 68167 75698 86758 108140 118954 123940 136334 151396 173516 189245 216280 216895 237908 247880 272668 297385 302792 340835 347032 378490 416339 433790 475816 477169 545336 594770 681670 756980 832678 867580 954338 1189540 1363340 1513960 1665356 1735160 1908676 2081695 2379080 2385845 2726680 3330712 3817352 4163390 4771690 8326780 9543380 16653560 19086760 33507179 67014358 134028716 167535895 234550253 268057432 335071790 368578969 469100506 670143580 737157938 938201012 1172751265 1340287160 1474315876 1842894845 1876402024 2345502530 2580052783 2948631752 3685789690 4691005060 5160105566 7371579380 9382010120 10320211132 12900263915 14743158760 20640422264 25800527830 51601055660 103202111320