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101422304320 = 2653743199211
BaseRepresentation
bin101111001110100111…
…1011000110001000000
3100200210021221212222111
41132131033120301000
53130203102214240
6114332011545104
710220224235221
oct1363517306100
9320707855874
10101422304320
113a016279417
12177a615b194
13974439a42c
144ca1cdb248
1529890381ea
hex179d3d8c40

101422304320 has 112 divisors (see below), whose sum is σ = 253808837568. Its totient is φ = 38554306560.

The previous prime is 101422304297. The next prime is 101422304327. The reversal of 101422304320 is 23403224101.

It is a junction number, because it is equal to n+sod(n) for n = 101422304291 and 101422304300.

It is not an unprimeable number, because it can be changed into a prime (101422304327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409515 + ... + 608725.

Almost surely, 2101422304320 is an apocalyptic number.

101422304320 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 101422304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904418784).

101422304320 is an abundant number, since it is smaller than the sum of its proper divisors (152386533248).

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

101422304320 is a wasteful number, since it uses less digits than its factorization.

101422304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199308 (or 199298 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 101422304320 its reverse (23403224101), we get a palindrome (124825528421).

The spelling of 101422304320 in words is "one hundred one billion, four hundred twenty-two million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 64 74 80 86 148 160 172 185 215 296 320 344 370 430 592 688 740 860 1184 1376 1480 1591 1720 2368 2752 2960 3182 3440 5920 6364 6880 7955 11840 12728 13760 15910 25456 31820 50912 63640 101824 127280 199211 254560 398422 509120 796844 996055 1593688 1992110 3187376 3984220 6374752 7370807 7968440 8566073 12749504 14741614 15936880 17132146 29483228 31873760 34264292 36854035 42830365 58966456 63747520 68528584 73708070 85660730 117932912 137057168 147416140 171321460 235865824 274114336 294832280 316944701 342642920 471731648 548228672 589664560 633889402 685285840 1179329120 1267778804 1370571680 1584723505 2358658240 2535557608 2741143360 3169447010 5071115216 6338894020 10142230432 12677788040 20284460864 25355576080 50711152160 101422304320