Search a number
-
+
120031002 = 232713127577
BaseRepresentation
bin1110010011110…
…00011100011010
322100212012120200
413021320130122
5221211443002
615524403030
72655150420
oct711703432
9270765520
10120031002
1161833083
1234246476
131bb38080
1411d27110
15a80eb1c
hex727871a

120031002 has 96 divisors (see below), whose sum is σ = 323162112. Its totient is φ = 31352832.

The previous prime is 120030991. The next prime is 120031063. The reversal of 120031002 is 200130021.

It is a happy number.

It is a super-2 number, since 2×1200310022 = 28814882882248008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 207738 + ... + 208314.

It is an arithmetic number, because the mean of its divisors is an integer number (3366272).

Almost surely, 2120031002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120031002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161581056).

120031002 is an abundant number, since it is smaller than the sum of its proper divisors (203131110).

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

120031002 is a wasteful number, since it uses less digits than its factorization.

120031002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120031002 is about 10955.8660999485. The cubic root of 120031002 is about 493.2848876013.

Adding to 120031002 its reverse (200130021), we get a palindrome (320161023).

The spelling of 120031002 in words is "one hundred twenty million, thirty-one thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 127 182 234 254 273 381 546 577 762 819 889 1143 1154 1638 1651 1731 1778 2286 2667 3302 3462 4039 4953 5193 5334 7501 8001 8078 9906 10386 11557 12117 14859 15002 16002 22503 23114 24234 29718 34671 36351 45006 52507 67509 69342 72702 73279 104013 105014 135018 146558 157521 208026 219837 315042 439674 472563 512953 659511 945126 952627 1025906 1319022 1538859 1905254 2857881 3077718 4616577 5715762 6668389 8573643 9233154 13336778 17147286 20005167 40010334 60015501 120031002