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10023000212100 = 2235283619650291
BaseRepresentation
bin1001000111011010100101…
…0111100000001010000100
31022111012010010012002100210
42101312221113200022010
52303204101023241400
633152300331235420
72053065201046251
oct221665127401204
938435103162323
1010023000212100
113214804358877
12115a6365a8b70
1357921b290095
14269189a74428
15125ac4295950
hex91da95e0284

10023000212100 has 144 divisors (see below), whose sum is σ = 29396735988480. Its totient is φ = 2636327683200.

The previous prime is 10023000212089. The next prime is 10023000212111. The reversal of 10023000212100 is 121200032001.

It is an interprime number because it is at equal distance from previous prime (10023000212089) and next prime (10023000212111).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15087955 + ... + 15738245.

It is an arithmetic number, because the mean of its divisors is an integer number (204143999920).

Almost surely, 210023000212100 is an apocalyptic number.

10023000212100 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 10023000212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698367994240).

10023000212100 is an abundant number, since it is smaller than the sum of its proper divisors (19373735776380).

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

10023000212100 is a wasteful number, since it uses less digits than its factorization.

10023000212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651010 (or 651003 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10023000212100 its reverse (121200032001), we get a palindrome (10144200244101).

The spelling of 10023000212100 in words is "ten trillion, twenty-three billion, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 619 830 996 1238 1245 1660 1857 2075 2476 2490 3095 3714 4150 4980 6190 6225 7428 8300 9285 12380 12450 15475 18570 24900 30950 37140 46425 51377 61900 92850 102754 154131 185700 205508 256885 308262 513770 616524 650291 770655 1027540 1284425 1300582 1541310 1950873 2568850 2601164 3082620 3251455 3853275 3901746 5137700 6502910 7706550 7803492 9754365 13005820 15413100 16257275 19508730 32514550 39017460 48771825 53974153 65029100 97543650 107948306 161922459 195087300 215896612 269870765 323844918 402530129 539741530 647689836 805060258 809612295 1079483060 1207590387 1349353825 1610120516 1619224590 2012650645 2415180774 2698707650 3238449180 4025301290 4048061475 4830361548 5397415300 6037951935 8050602580 8096122950 10063253225 12075903870 16192245900 20126506450 24151807740 30189759675 33410000707 40253012900 60379519350 66820001414 100230002121 120759038700 133640002828 167050003535 200460004242 334100007070 400920008484 501150010605 668200014140 835250017675 1002300021210 1670500035350 2004600042420 2505750053025 3341000070700 5011500106050 10023000212100