Search a number
-
+
102011002302132 = 2232711116113316937
BaseRepresentation
bin10111001100011101001001…
…100011100010111010110100
3111101012011020010221020102100
4113030131021203202322310
5101332322013042132012
61000543112453142100
730326023506522030
oct2714351143427264
9441164203836370
10102011002302132
112a55a694418440
12b5364ba32a930
1344bc799c2c761
141b295049b11c0
15bbd8186438dc
hex5cc7498e2eb4

102011002302132 has 144 divisors (see below), whose sum is σ = 321493002509952. Its totient is φ = 26496052439040.

The previous prime is 102011002302091. The next prime is 102011002302149. The reversal of 102011002302132 is 231203200110201.

102011002302132 is a `hidden beast` number, since 1 + 0 + 201 + 100 + 230 + 2 + 132 = 666.

102011002302132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321706768 + ... + 322023704.

It is an arithmetic number, because the mean of its divisors is an integer number (2232590295208).

Almost surely, 2102011002302132 is an apocalyptic number.

102011002302132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011002302132 is an abundant number, since it is smaller than the sum of its proper divisors (219482000207820).

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

102011002302132 is a wasteful number, since it uses less digits than its factorization.

102011002302132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433078 (or 433073 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102011002302132 its reverse (231203200110201), we get a palindrome (333214202412333).

The spelling of 102011002302132 in words is "one hundred two trillion, eleven billion, two million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 116113 232226 316937 348339 464452 633874 696678 812791 950811 1045017 1267748 1277243 1393356 1625582 1901622 2090034 2218559 2438373 2554486 2852433 3251164 3486307 3803244 3831729 4180068 4437118 4876746 5108972 5704866 6655677 6972614 7315119 7663458 8874236 8940701 9753492 10458921 11409732 11495187 13311354 13945228 14630238 15326916 17881402 19967031 20917842 22990374 24404149 26622708 26822103 29260476 31376763 35762804 39934062 41835684 45980748 48808298 53644206 62753526 73212447 79868124 80466309 97616596 107288412 125507052 146424894 160932618 219637341 292849788 321865236 439274682 878549364 36800505881 73601011762 110401517643 147202023524 220803035286 257603541167 331204552929 404805564691 441606070572 515207082334 662409105858 772810623501 809611129382 1030414164668 1214416694073 1324818211716 1545621247002 1619222258764 2318431870503 2428833388146 2833638952837 3091242494004 3643250082219 4636863741006 4857666776292 5667277905674 7286500164438 8500916858511 9273727482012 11334555811348 14573000328876 17001833717022 25502750575533 34003667434044 51005501151066 102011002302132