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103302100000 = 25551193911
BaseRepresentation
bin110000000110101001…
…0001111010000100000
3100212122022010101212201
41200031102033100200
53143030314200000
6115242322302544
710314631235131
oct1401522172040
9325568111781
10103302100000
113a8a0384770
121802b7b7a54
139983978878
144ddd825c88
152a490a496a
hex180d48f420

103302100000 has 144 divisors (see below), whose sum is σ = 277316125632. Its totient is φ = 37564000000.

The previous prime is 103302099961. The next prime is 103302100021. The reversal of 103302100000 is 1203301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103302100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053045 + ... + 1146955.

It is an arithmetic number, because the mean of its divisors is an integer number (1925806428).

Almost surely, 2103302100000 is an apocalyptic number.

103302100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103302100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138658062816).

103302100000 is an abundant number, since it is smaller than the sum of its proper divisors (174014025632).

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

103302100000 is an frugal number, since it uses more digits than its factorization.

103302100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93957 (or 93929 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 103302100000 its reverse (1203301), we get a palindrome (103303303301).

It can be divided in two parts, 103302 and 100000, that added together give a palindrome (203302).

The spelling of 103302100000 in words is "one hundred three billion, three hundred two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 93911 100000 110000 137500 187822 220000 275000 375644 469555 550000 751288 939110 1033021 1100000 1502576 1878220 2066042 2347775 3005152 3756440 4132084 4695550 5165105 7512880 8264168 9391100 10330210 11738875 15025760 16528336 18782200 20660420 23477750 25825525 33056672 37564400 41320840 46955500 51651050 58694375 75128800 82641680 93911000 103302100 117388750 129127625 165283360 187822000 206604200 234777500 258255250 293471875 375644000 413208400 469555000 516510500 586943750 645638125 826416800 939110000 1033021000 1173887500 1291276250 1878220000 2066042000 2347775000 2582552500 3228190625 4132084000 4695550000 5165105000 6456381250 9391100000 10330210000 12912762500 20660420000 25825525000 51651050000 103302100000