Search a number
-
+
10000021021120 = 2651310123800507
BaseRepresentation
bin1001000110000100111110…
…1100110110000111000000
31022101222210122210020101101
42101201033230312013000
52302320020340133440
633133540215344144
72051322562125334
oct221411754660700
938358718706341
1010000021021120
113205a92191549
1211560a2982054
13576cc8608660
14268009c417c4
151251cbbe669a
hex9184fb361c0

10000021021120 has 112 divisors (see below), whose sum is σ = 25898189573088. Its totient is φ = 3655757721600.

The previous prime is 10000021021103. The next prime is 10000021021139. The reversal of 10000021021120 is 2112012000001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000021021097 and 10000021021106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11480094 + ... + 12320413.

It is an arithmetic number, because the mean of its divisors is an integer number (231233835474).

Almost surely, 210000021021120 is an apocalyptic number.

10000021021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000021021120 is an abundant number, since it is smaller than the sum of its proper divisors (15898168551968).

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

10000021021120 is a wasteful number, since it uses less digits than its factorization.

10000021021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23800638 (or 23800628 counting only the distinct ones).

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

Adding to 10000021021120 its reverse (2112012000001), we get a palindrome (12112033021121).

The spelling of 10000021021120 in words is "ten trillion, twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 101 104 130 160 202 208 260 320 404 416 505 520 808 832 1010 1040 1313 1616 2020 2080 2626 3232 4040 4160 5252 6464 6565 8080 10504 13130 16160 21008 26260 32320 42016 52520 84032 105040 210080 420160 23800507 47601014 95202028 119002535 190404056 238005070 309406591 380808112 476010140 618813182 761616224 952020280 1237626364 1523232448 1547032955 1904040560 2403851207 2475252728 3094065910 3808081120 4807702414 4950505456 6188131820 7616162240 9615404828 9901010912 12019256035 12376263640 19230809656 19802021824 24038512070 24752527280 31250065691 38461619312 48077024140 49505054560 62500131382 76923238624 96154048280 99010109120 125000262764 153846477248 156250328455 192308096560 250000525528 312500656910 384616193120 500001051056 625001313820 769232386240 1000002102112 1250002627640 2000004204224 2500005255280 5000010510560 10000021021120