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103202000001320 = 235112173331230181
BaseRepresentation
bin10111011101110010010110…
…100011001101100100101000
3111112102000101211020002021012
4113131302112203031210220
5102011330144000020240
61003254202211203052
730511045524112103
oct2735622643154450
9445360354202235
10103202000001320
112a9797a4591700
12b6a92a4ba6488
134577ba343cb3c
141b6b00968573a
15bde7c2d4ab65
hex5ddc968cd928

103202000001320 has 96 divisors (see below), whose sum is σ = 255247978212360. Its totient is φ = 37525804377600.

The previous prime is 103202000001307. The next prime is 103202000001407. The reversal of 103202000001320 is 23100000202301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43493523781444 + 59708476219876 = 6594962^2 + 7727126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103202000001295 and 103202000001304.

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, 83276630 + ... + 84506810.

Almost surely, 2103202000001320 is an apocalyptic number.

103202000001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103202000001320 is an abundant number, since it is smaller than the sum of its proper divisors (152045978211040).

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

103202000001320 is a wasteful number, since it uses less digits than its factorization.

103202000001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247547 (or 1247532 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103202000001320 its reverse (23100000202301), we get a palindrome (126302000203621).

The spelling of 103202000001320 in words is "one hundred three trillion, two hundred two billion, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 17333 34666 69332 86665 138664 173330 190663 346660 381326 693320 762652 953315 1230181 1525304 1906630 2097293 2460362 3813260 4194586 4920724 6150905 7626520 8389172 9841448 10486465 12301810 13531991 16778344 20972930 24603620 27063982 41945860 49207240 54127964 67659955 83891720 108255928 135319910 148851901 270639820 297703802 541279640 595407604 744259505 1190815208 1488519010 2977038020 5954076040 21322727273 42645454546 85290909092 106613636365 170581818184 213227272730 234550000003 426454545460 469100000006 852909090920 938200000012 1172750000015 1876400000024 2345500000030 2580050000033 4691000000060 5160100000066 9382000000120 10320200000132 12900250000165 20640400000264 25800500000330 51601000000660 103202000001320