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133012120021230 = 235175338971126271
BaseRepresentation
bin11110001111100101001100…
…001010100010100011101110
3122102221211112100020102202010
4132033211030022202203232
5114413232310211134410
61150520531355342050
740005544221352452
oct3617451412424356
9572854470212663
10133012120021230
113942213a15127a
1212b02781a51926
13592acb2080388
1424bbb6c9d6662
151059e3cd69c20
hex78f94c2a28ee

133012120021230 has 128 divisors (see below), whose sum is σ = 344396329721856. Its totient is φ = 32752458086400.

The previous prime is 133012120021189. The next prime is 133012120021243. The reversal of 133012120021230 is 32120021210331.

It is a super-3 number, since 3×1330121200212303 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133012120021197 and 133012120021206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1053322995 + ... + 1053449265.

It is an arithmetic number, because the mean of its divisors is an integer number (2690596325952).

Almost surely, 2133012120021230 is an apocalyptic number.

133012120021230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133012120021230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172198164860928).

133012120021230 is an abundant number, since it is smaller than the sum of its proper divisors (211384209700626).

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

133012120021230 is a wasteful number, since it uses less digits than its factorization.

133012120021230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165322.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133012120021230 its reverse (32120021210331), we get a palindrome (165132141231561).

The spelling of 133012120021230 in words is "one hundred thirty-three trillion, twelve billion, one hundred twenty million, twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 510 530 795 901 1590 1802 2703 4505 5406 9010 13515 27030 38971 77942 116913 126271 194855 233826 252542 378813 389710 584565 631355 662507 757626 1169130 1262710 1325014 1894065 1987521 2065463 2146607 3312535 3788130 3975042 4130926 4293214 6196389 6439821 6625070 6692363 9937605 10327315 10733035 12392778 12879642 13384726 19875210 20077089 20654630 21466070 30981945 32199105 33461815 35112871 40154178 61963890 64398210 66923630 70225742 100385445 105338613 113770171 175564355 200770890 210677226 227540342 341310513 351128710 526693065 568850855 682621026 1053386130 1137701710 1706552565 3413105130 4920907141 9841814282 14762721423 24604535705 29525442846 49209071410 73813607115 83655421397 147627214230 167310842794 250966264191 260808078473 418277106985 501932528382 521616156946 782424235419 836554213970 1254831320955 1304040392365 1564848470838 2509662641910 2608080784730 3912121177095 4433737334041 7824242354190 8867474668082 13301212002123 22168686670205 26602424004246 44337373340410 66506060010615 133012120021230