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10033231223220 = 22357111467205391
BaseRepresentation
bin1001001000000000101100…
…1011101101100110110100
31022112011112010122022011120
42102000023023231212310
52303341024143120340
633201111445303540
72053606552155102
oct222001313554664
938464463568146
1010033231223220
113219084506967
121160610a04bb0
1357a18baa1b0a
1426987a76cc72
15125ec25864d0
hex9200b2ed9b4

10033231223220 has 96 divisors (see below), whose sum is σ = 28491347275776. Its totient is φ = 2637601948800.

The previous prime is 10033231223219. The next prime is 10033231223227. The reversal of 10033231223220 is 2232213233001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033231223227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48746725 + ... + 48952115.

It is an arithmetic number, because the mean of its divisors is an integer number (296784867456).

Almost surely, 210033231223220 is an apocalyptic number.

10033231223220 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 10033231223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245673637888).

10033231223220 is an abundant number, since it is smaller than the sum of its proper divisors (18458116052556).

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

10033231223220 is a wasteful number, since it uses less digits than its factorization.

10033231223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216941 (or 216939 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10033231223220 its reverse (2232213233001), we get a palindrome (12265444456221).

The spelling of 10033231223220 in words is "ten trillion, thirty-three billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 11467 22934 34401 45868 57335 68802 114670 137604 172005 205391 229340 344010 410782 616173 688020 814157 821564 1026955 1232346 1628314 2053910 2442471 2464692 3080865 3256628 4070785 4107820 4884942 6161730 8141570 9769884 12212355 12323460 14582761 16283140 24424710 29165522 43748283 48849420 58331044 72913805 87496566 145827610 174993132 218741415 291655220 437482830 874965660 2355218597 4710437194 7065655791 9420874388 11776092985 14131311582 23552185970 28262623164 35328278955 47104371940 70656557910 141313115820 167220520387 334441040774 501661561161 668882081548 836102601935 1003323122322 1672205203870 2006646244644 2508307805805 3344410407740 5016615611610 10033231223220