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10021320223100 = 22522791310911549
BaseRepresentation
bin1001000111010100010100…
…1110110110100101111100
31022111000210000222210200222
42101311011032312211330
52303142130434114400
633151421515240512
72053005441300164
oct221650516664574
938430700883628
1010021320223100
11321402201320a
12115a247a49138
135790111cbc54
1426906a8bb5a4
15125a26a46185
hex91d453b697c

10021320223100 has 72 divisors (see below), whose sum is σ = 21762937812000. Its totient is φ = 4005456134400.

The previous prime is 10021320223093. The next prime is 10021320223163. The reversal of 10021320223100 is 132202312001.

It is a super-2 number, since 2×100213202231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867716126 + ... + 867727674.

Almost surely, 210021320223100 is an apocalyptic number.

10021320223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021320223100 is an abundant number, since it is smaller than the sum of its proper divisors (11741617588900).

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

10021320223100 is a wasteful number, since it uses less digits than its factorization.

10021320223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17463 (or 17456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10021320223100 its reverse (132202312001), we get a palindrome (10153522535101).

The spelling of 10021320223100 in words is "ten trillion, twenty-one billion, three hundred twenty million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2791 3109 5582 6218 11164 11549 12436 13955 15545 23098 27910 31090 46196 55820 57745 62180 69775 77725 115490 139550 155450 230980 279100 288725 310900 577450 1154900 8677219 17354438 32233259 34708876 35905841 43386095 64466518 71811682 86772190 128933036 143623364 161166295 173544380 179529205 216930475 322332590 359058410 433860950 644665180 718116820 805831475 867721900 897646025 1611662950 1795292050 3223325900 3590584100 100213202231 200426404462 400852808924 501066011155 1002132022310 2004264044620 2505330055775 5010660111550 10021320223100