Search a number
-
+
13202233002120 = 23351077417138629
BaseRepresentation
bin1100000000011110001001…
…1010001000100010001000
31201202010021022120110211010
43000013202122020202020
53212301133122031440
644025004435403520
72531554432635561
oct300074232104210
951663238513733
1013202233002120
114230043391498
1215928211535a0
13749c717c2506
14338dc48d5168
1517d648b96580
hexc01e2688888

13202233002120 has 128 divisors (see below), whose sum is σ = 39982533379200. Its totient is φ = 3487197321216.

The previous prime is 13202233002103. The next prime is 13202233002137. The reversal of 13202233002120 is 2120033220231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13202233002103) and next prime (13202233002137).

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, 95164966 + ... + 95303594.

It is an arithmetic number, because the mean of its divisors is an integer number (312363542025).

Almost surely, 213202233002120 is an apocalyptic number.

13202233002120 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 13202233002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19991266689600).

13202233002120 is an abundant number, since it is smaller than the sum of its proper divisors (26780300377080).

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

13202233002120 is a wasteful number, since it uses less digits than its factorization.

13202233002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146167 (or 146163 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13202233002120 its reverse (2120033220231), we get a palindrome (15322266222351).

The spelling of 13202233002120 in words is "thirteen trillion, two hundred two billion, two hundred thirty-three million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 7417 12840 14834 22251 29668 37085 44502 59336 74170 89004 111255 138629 148340 178008 222510 277258 296680 415887 445020 554516 693145 793619 831774 890040 1109032 1386290 1587238 1663548 2079435 2380857 2772580 3174476 3327096 3968095 4158870 4761714 5545160 6348952 7936190 8317740 9523428 11904285 14833303 15872380 16635480 19046856 23808570 29666606 31744760 44499909 47617140 59333212 74166515 88999818 95234280 118666424 148333030 177999636 222499545 296666060 355999272 444999090 593332120 889998180 1028211293 1779996360 2056422586 3084633879 4112845172 5141056465 6169267758 8225690344 10282112930 12338535516 15423169395 20564225860 24677071032 30846338790 41128451720 61692677580 110018608351 123385355160 220037216702 330055825053 440074433404 550093041755 660111650106 880148866808 1100186083510 1320223300212 1650279125265 2200372167020 2640446600424 3300558250530 4400744334040 6601116501060 13202233002120