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20212321131030 = 23571273592111051
BaseRepresentation
bin1001001100010000011000…
…01110001001101000010110
32122120021112102010111110110
410212020030032021220112
510122124313202143110
6110553225004503450
74154202105611460
oct446101416115026
978507472114413
1020212321131030
116492aa7387356
12232534954ab86
13b38024153692
144dc3d2871130
15250b7ed60a20
hex12620c389a16

20212321131030 has 128 divisors (see below), whose sum is σ = 56031711068160. Its totient is φ = 4570811683200.

The previous prime is 20212321131017. The next prime is 20212321131047. The reversal of 20212321131030 is 3013112321202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20212321130988 and 20212321131006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8519005 + ... + 10630055.

It is an arithmetic number, because the mean of its divisors is an integer number (437747742720).

Almost surely, 220212321131030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212321131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28015855534080).

20212321131030 is an abundant number, since it is smaller than the sum of its proper divisors (35819389937130).

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

20212321131030 is a wasteful number, since it uses less digits than its factorization.

20212321131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111554.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20212321131030 its reverse (3013112321202), we get a palindrome (23225433452232).

The spelling of 20212321131030 in words is "twenty trillion, two hundred twelve billion, three hundred twenty-one million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 359 381 635 718 762 889 1077 1270 1778 1795 1905 2154 2513 2667 3590 3810 4445 5026 5334 5385 7539 8890 10770 12565 13335 15078 25130 26670 37695 45593 75390 91186 136779 227965 273558 319151 455930 638302 683895 957453 1367790 1595755 1914906 2111051 3191510 4222102 4787265 6333153 9574530 10555255 12666306 14777357 21110510 29554714 31665765 44332071 63331530 73886785 88664142 147773570 221660355 268103477 443320710 536206954 757867309 804310431 1340517385 1515734618 1608620862 1876724339 2273601927 2681034770 3753448678 3789336545 4021552155 4547203854 5305071163 5630173017 7578673090 8043104310 9383621695 10610142326 11260346034 11368009635 15915213489 18767243390 22736019270 26525355815 28150865085 31830426978 53050711630 56301730170 79576067445 96249148243 159152134890 192498296486 288747444729 481245741215 577494889458 673744037701 962491482430 1347488075402 1443737223645 2021232113103 2887474447290 3368720188505 4042464226206 6737440377010 10106160565515 20212321131030