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10033101000020 = 2257836531322257
BaseRepresentation
bin1001001000000000001101…
…1010111100110101010100
31022112011012001121021112002
42102000003122330311110
52303340242324000040
633201050514214432
72053603411244450
oct222000332746524
938464161537462
1010033101000020
113219017a5228a
121160595284418
1357a16ab08877
14269867351660
15125eb5e11a15
hex920036bcd54

10033101000020 has 96 divisors (see below), whose sum is σ = 24406894003968. Its totient is φ = 3393268549632.

The previous prime is 10033100999983. The next prime is 10033101000119. The reversal of 10033101000020 is 2000010133001.

It is a junction number, because it is equal to n+sod(n) for n = 10033100999965 and 10033101000010.

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, 6926732 + ... + 8248988.

It is an arithmetic number, because the mean of its divisors is an integer number (254238479208).

Almost surely, 210033101000020 is an apocalyptic number.

10033101000020 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 10033101000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203447001984).

10033101000020 is an abundant number, since it is smaller than the sum of its proper divisors (14373793003948).

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

10033101000020 is a wasteful number, since it uses less digits than its factorization.

10033101000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323009 (or 1323007 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10033101000020 its reverse (2000010133001), we get a palindrome (12033111133021).

The spelling of 10033101000020 in words is "ten trillion, thirty-three billion, one hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 653 830 1162 1306 1660 2324 2612 2905 3265 4571 5810 6530 9142 11620 13060 18284 22855 45710 54199 91420 108398 216796 270995 379393 541990 758786 1083980 1322257 1517572 1896965 2644514 3793930 5289028 6611285 7587860 9255799 13222570 18511598 26445140 37023196 46278995 92557990 109747331 185115980 219494662 438989324 548736655 768231317 863433821 1097473310 1536462634 1726867642 2194946620 3072925268 3453735284 3841156585 4317169105 6044036747 7682313170 8634338210 12088073494 15364626340 17268676420 24176146988 30220183735 60440367470 71665007143 120880734940 143330014286 286660028572 358325035715 501655050001 716650071430 1003310100002 1433300142860 2006620200004 2508275250005 5016550500010 10033101000020