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120411010304 = 2813296312211
BaseRepresentation
bin111000000100100001…
…1100011010100000000
3102111210122120002122022
41300021003203110000
53433100204312204
6131152133501012
711461616462114
oct1601103432400
9374718502568
10120411010304
114707a970262
121b4054a1768
13b47c3b2330
145b83b75744
1531eb0e15be
hex1c090e3500

120411010304 has 72 divisors (see below), whose sum is σ = 258948816672. Its totient is φ = 55551006720.

The previous prime is 120411010303. The next prime is 120411010331. The reversal of 120411010304 is 403010114021.

It is a happy number.

It is a super-2 number, since 2×1204110103042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120411010301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9854759 + ... + 9866969.

Almost surely, 2120411010304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120411010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129474408336).

120411010304 is an abundant number, since it is smaller than the sum of its proper divisors (138537806368).

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

120411010304 is a wasteful number, since it uses less digits than its factorization.

120411010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15203 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 120411010304 its reverse (403010114021), we get a palindrome (523421124325).

The spelling of 120411010304 in words is "one hundred twenty billion, four hundred eleven million, ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 2963 3328 5926 11852 12211 23704 24422 38519 47408 48844 77038 94816 97688 154076 158743 189632 195376 308152 317486 379264 390752 616304 634972 758528 781504 1232608 1269944 1563008 2465216 2539888 3126016 4930432 5079776 9860864 10159552 20319104 36181193 40638208 72362386 144724772 289449544 470355509 578899088 940711018 1157798176 1881422036 2315596352 3762844072 4631192704 7525688144 9262385408 15051376288 30102752576 60205505152 120411010304