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103321434222400 = 2652371745294497
BaseRepresentation
bin10111011111100001100101…
…011000100110111101000000
3111112211102200101210010222211
4113133201211120212331000
5102020304244130104100
61003425113413111504
730522504313204222
oct2737414530467500
9445742611703884
10103321434222400
112aa15413041739
12b708477328594
134586228350984
141b72ad97d2412
15be29632e31ba
hex5df865626f40

103321434222400 has 84 divisors (see below), whose sum is σ = 261106528667788. Its totient is φ = 40211585187840.

The previous prime is 103321434222367. The next prime is 103321434222431. The reversal of 103321434222400 is 4222434123301.

It can be written as a sum of positive squares in 6 ways, for example, as 5261848752384 + 98059585470016 = 2293872^2 + 9902504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 872588049 + ... + 872706448.

Almost surely, 2103321434222400 is an apocalyptic number.

103321434222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103321434222400 is an abundant number, since it is smaller than the sum of its proper divisors (157785094445388).

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

103321434222400 is a wasteful number, since it uses less digits than its factorization.

103321434222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745294556 (or 1745294541 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 103321434222400 its reverse (4222434123301), we get a palindrome (107543868345701).

Subtracting from 103321434222400 its reverse (4222434123301), we obtain a palindrome (99099000099099).

The spelling of 103321434222400 in words is "one hundred three trillion, three hundred twenty-one billion, four hundred thirty-four million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 148 160 185 200 296 320 370 400 592 740 800 925 1184 1480 1600 1850 2368 2960 3700 5920 7400 11840 14800 29600 59200 1745294497 3490588994 6981177988 8726472485 13962355976 17452944970 27924711952 34905889940 43632362425 55849423904 64575896389 69811779880 87264724850 111698847808 129151792778 139623559760 174529449700 258303585556 279247119520 322879481945 349058899400 516607171112 558494239040 645758963890 698117798800 1033214342224 1291517927780 1396235597600 1614397409725 2066428684448 2583035855560 2792471195200 3228794819450 4132857368896 5166071711120 6457589638900 10332143422240 12915179277800 20664286844480 25830358555600 51660717111200 103321434222400