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101304312203004 = 223173972753454361
BaseRepresentation
bin10111000010001010111111…
…100010110000011011111100
3111021200121010200211120222020
4113002022333202300123330
5101234232212410444004
6555242320351520140
730223665203013231
oct2702127742603374
9437617120746866
10101304312203004
112a307a102712a9
12b441555229050
13446ac567430a1
141b03224d7d788
15baa2570898d9
hex5c22bf8b06fc

101304312203004 has 96 divisors (see below), whose sum is σ = 251003366865216. Its totient is φ = 31690105159680.

The previous prime is 101304312202969. The next prime is 101304312203053. The reversal of 101304312203004 is 400302213403101.

It is a happy number.

101304312203004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222732784 + ... + 223187144.

It is an arithmetic number, because the mean of its divisors is an integer number (2614618404846).

Almost surely, 2101304312203004 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 101304312203004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125501683432608).

101304312203004 is an abundant number, since it is smaller than the sum of its proper divisors (149699054662212).

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

101304312203004 is a wasteful number, since it uses less digits than its factorization.

101304312203004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457535 (or 457533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101304312203004 its reverse (400302213403101), we get a palindrome (501606525606105).

The spelling of 101304312203004 in words is "one hundred one trillion, three hundred four billion, three hundred twelve million, two hundred three thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 397 794 1191 1588 2382 2753 4764 5506 6749 8259 11012 13498 16518 20247 26996 33036 40494 46801 80988 93602 140403 187204 280806 454361 561612 908722 1092941 1363083 1817444 2185882 2726166 3278823 4371764 5452332 6557646 7724137 13115292 15448274 18579997 23172411 30896548 37159994 46344822 55739991 74319988 92689644 111479982 180381317 222959964 360762634 541143951 721525268 1082287902 1250855833 2164575804 2501711666 3066482389 3752567499 5003423332 6132964778 7505134998 9199447167 12265929556 15010269996 18398894334 21264549161 36797788668 42529098322 63793647483 85058196644 127587294966 255174589932 496589765701 993179531402 1489769297103 1986359062804 2979538594206 5959077188412 8442026016917 16884052033834 25326078050751 33768104067668 50652156101502 101304312203004