Search a number
-
+
1233152324120 = 2352313110879413
BaseRepresentation
bin10001111100011101100…
…110110011001000011000
311100212222111122200002202
4101330131212303020120
5130200443443332440
62342300301545332
7155043443544143
oct21743546631030
94325874580082
101233152324120
11435a8237a972
1217abb0275248
138c393a98042
14439834ab05a
1522125446615
hex11f1d9b3218

1233152324120 has 128 divisors (see below), whose sum is σ = 2920322211840. Its totient is φ = 467732728320.

The previous prime is 1233152324113. The next prime is 1233152324191. The reversal of 1233152324120 is 214232513321.

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, 131000534 + ... + 131009946.

It is an arithmetic number, because the mean of its divisors is an integer number (22815017280).

Almost surely, 21233152324120 is an apocalyptic number.

1233152324120 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 1233152324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460161105920).

1233152324120 is an abundant number, since it is smaller than the sum of its proper divisors (1687169887720).

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

1233152324120 is a wasteful number, since it uses less digits than its factorization.

1233152324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10665 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 1233152324120 its reverse (214232513321), we get a palindrome (1447384837441).

The spelling of 1233152324120 in words is "one trillion, two hundred thirty-three billion, one hundred fifty-two million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 131 184 230 262 460 524 655 920 1048 1087 1310 2174 2620 3013 4348 5240 5435 6026 8696 9413 10870 12052 15065 18826 21740 24104 25001 30130 37652 43480 47065 50002 60260 75304 94130 100004 120520 125005 142397 188260 200008 216499 250010 284794 376520 432998 500020 569588 711985 865996 1000040 1082495 1139176 1233103 1423970 1731992 2164990 2466206 2847940 3275131 4329980 4932412 5695880 6165515 6550262 8659960 9864824 10231931 12331030 13100524 16375655 20463862 24662060 26201048 28361369 32751310 40927724 49324120 51159655 56722738 65502620 81855448 102319310 113445476 131005240 141806845 204638620 226890952 235334413 283613690 409277240 470668826 567227380 941337652 1134454760 1176672065 1340382961 1882675304 2353344130 2680765922 4706688260 5361531844 6701914805 9413376520 10723063688 13403829610 26807659220 30828808103 53615318440 61657616206 123315232412 154144040515 246630464824 308288081030 616576162060 1233152324120