Search a number
-
+
12020102101000 = 235371717157443
BaseRepresentation
bin1010111011101010010111…
…1010100111100000001000
31120120002222120201122021201
42232322211322213200020
53033414132114213000
641321543023513544
72350265223031660
oct256724572474010
946502876648251
1012020102101000
1139147732aa914
1214216aba588b4
1369264c2953c6
142d7ac16811a0
1515ca0cb0896a
hexaeea5ea7808

12020102101000 has 64 divisors (see below), whose sum is σ = 32145187351680. Its totient is φ = 4121177860800.

The previous prime is 12020102100997. The next prime is 12020102101069. The reversal of 12020102101000 is 10120102021.

12020102101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120201021010002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858571722 + ... + 858585721.

It is an arithmetic number, because the mean of its divisors is an integer number (502268552370).

Almost surely, 212020102101000 is an apocalyptic number.

12020102101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020102101000 is an abundant number, since it is smaller than the sum of its proper divisors (20125085250680).

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

12020102101000 is a wasteful number, since it uses less digits than its factorization.

12020102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717157471 (or 1717157457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12020102101000 its reverse (10120102021), we get a palindrome (12030222203021).

The spelling of 12020102101000 in words is "twelve trillion, twenty billion, one hundred two million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1717157443 3434314886 6868629772 8585787215 12020102101 13737259544 17171574430 24040204202 34343148860 42928936075 48080408404 60100510505 68686297720 85857872150 96160816808 120201021010 171715744300 214644680375 240402042020 300502552525 343431488600 429289360750 480804084040 601005105050 858578721500 1202010210100 1502512762625 1717157443000 2404020420200 3005025525250 6010051050500 12020102101000