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20313101040 = 24352913122279
BaseRepresentation
bin10010111010110000…
…010101001011110000
31221102122200110010120
4102322300111023300
5313100123213130
613155352130240
71316243336631
oct227260251360
957378613116
1020313101040
118684241511
123b2a996980
131bb951191b
14da9b09888
157dd4b6910
hex4bac152f0

20313101040 has 160 divisors (see below), whose sum is σ = 65642227200. Its totient is φ = 5189882880.

The previous prime is 20313101027. The next prime is 20313101051. The reversal of 20313101040 is 4010131302.

It is a super-2 number, since 2×203131010402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900621 + ... + 922899.

It is an arithmetic number, because the mean of its divisors is an integer number (410263920).

Almost surely, 220313101040 is an apocalyptic number.

20313101040 is a gapful number since it is divisible by the number (20) 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 20313101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32821113600).

20313101040 is an abundant number, since it is smaller than the sum of its proper divisors (45329126160).

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

20313101040 is a wasteful number, since it uses less digits than its factorization.

20313101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22455 (or 22449 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20313101040 its reverse (4010131302), we get a palindrome (24323232342).

The spelling of 20313101040 in words is "twenty billion, three hundred thirteen million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 131 145 174 232 240 262 290 348 393 435 464 524 580 655 696 786 870 1048 1160 1310 1392 1572 1740 1965 2096 2320 2620 3144 3480 3799 3930 5240 6288 6960 7598 7860 10480 11397 15196 15720 18995 22279 22794 30392 31440 37990 44558 45588 56985 60784 66837 75980 89116 91176 111395 113970 133674 151960 178232 182352 222790 227940 267348 303920 334185 356464 445580 455880 534696 646091 668370 891160 911760 1069392 1292182 1336740 1782320 1938273 2584364 2673480 2918549 3230455 3876546 5168728 5346960 5837098 6460910 7753092 8755647 9691365 10337456 11674196 12921820 14592745 15506184 17511294 19382730 23348392 25843640 29185490 31012368 35022588 38765460 43778235 46696784 51687280 58370980 70045176 77530920 84637921 87556470 116741960 140090352 155061840 169275842 175112940 233483920 253913763 338551684 350225880 423189605 507827526 677103368 700451760 846379210 1015655052 1269568815 1354206736 1692758420 2031310104 2539137630 3385516840 4062620208 5078275260 6771033680 10156550520 20313101040