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10023022200100 = 22527134126864171
BaseRepresentation
bin1001000111011010101010…
…1011011000010100100100
31022111012011122120012020011
42101312222223120110210
52303204122140400400
633152302434420004
72053065555665230
oct221665253302444
938435148505204
1010023022200100
113214815806778
12115a641a31604
135792229bb330
1426918c9595c0
15125ac618a8ba
hex91daaad8524

10023022200100 has 144 divisors (see below), whose sum is σ = 27422087124096. Its totient is φ = 3094752384000.

The previous prime is 10023022200097. The next prime is 10023022200131. The reversal of 10023022200100 is 100222032001.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 13058986 + ... + 13805185.

It is an arithmetic number, because the mean of its divisors is an integer number (190431160584).

Almost surely, 210023022200100 is an apocalyptic number.

10023022200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023022200100 is an abundant number, since it is smaller than the sum of its proper divisors (17399064923996).

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

10023022200100 is a wasteful number, since it uses less digits than its factorization.

10023022200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26864246 (or 26864239 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10023022200100 its reverse (100222032001), we get a palindrome (10123244232101).

The spelling of 10023022200100 in words is "ten trillion, twenty-three billion, twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 41 50 52 65 70 82 91 100 130 140 164 175 182 205 260 287 325 350 364 410 455 533 574 650 700 820 910 1025 1066 1148 1300 1435 1820 2050 2132 2275 2665 2870 3731 4100 4550 5330 5740 7175 7462 9100 10660 13325 14350 14924 18655 26650 28700 37310 53300 74620 93275 186550 373100 26864171 53728342 107456684 134320855 188049197 268641710 349234223 376098394 537283420 671604275 698468446 752196788 940245985 1101431011 1343208550 1396936892 1746171115 1880491970 2202862022 2444639561 2686417100 3492342230 3760983940 4405724044 4701229925 4889279122 5507155055 6984684460 7710017077 8730855575 9402459850 9778558244 11014310110 12223197805 14318603143 15420034154 17461711150 18804919700 22028620220 24446395610 27535775275 28637206286 30840068308 34923422300 38550085385 48892791220 55071550550 57274412572 61115989025 71593015715 77100170770 100230222001 110143101100 122231978050 143186031430 154200341540 192750426925 200460444002 244463956100 286372062860 357965078575 385500853850 400920888004 501151110005 715930157150 771001707700 1002302220010 1431860314300 2004604440020 2505755550025 5011511100050 10023022200100