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10221111100000 = 2555727140593
BaseRepresentation
bin1001010010111100100110…
…1100100100001001100000
31100012010110210202221020101
42110233021230210021200
52314430313420200000
633423302535152144
72103310442601643
oct224571154441140
940163423687211
1010221111100000
1132908268300a9
121190b05515654
13591b010bb438
142749c0cc3a5a
1512ad1b95ce6a
hex94bc9b24260

10221111100000 has 144 divisors (see below), whose sum is σ = 25186681761696. Its totient is φ = 4082791680000.

The previous prime is 10221111099973. The next prime is 10221111100001. The reversal of 10221111100000 is 111112201.

It is a super-2 number, since 2×102211111000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10221111100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221111100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72629704 + ... + 72770296.

It is an arithmetic number, because the mean of its divisors is an integer number (174907512234).

Almost surely, 210221111100000 is an apocalyptic number.

10221111100000 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 10221111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593340880848).

10221111100000 is an abundant number, since it is smaller than the sum of its proper divisors (14965570661696).

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

10221111100000 is an frugal number, since it uses more digits than its factorization.

10221111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141355 (or 141327 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10221111100000 its reverse (111112201), we get a palindrome (10221222212201).

The spelling of 10221111100000 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 727 800 1000 1250 1454 2000 2500 2908 3125 3635 4000 5000 5816 6250 7270 10000 11632 12500 14540 18175 20000 23264 25000 29080 36350 50000 58160 72700 90875 100000 116320 140593 145400 181750 281186 290800 363500 454375 562372 581600 702965 727000 908750 1124744 1405930 1454000 1817500 2249488 2271875 2811860 2908000 3514825 3635000 4498976 4543750 5623720 7029650 7270000 9087500 11247440 14059300 14540000 17574125 18175000 22494880 28118600 35148250 36350000 56237200 70296500 72700000 87870625 102211111 112474400 140593000 175741250 204422222 281186000 351482500 408844444 439353125 511055555 562372000 702965000 817688888 878706250 1022111110 1405930000 1635377776 1757412500 2044222220 2555277775 2811860000 3270755552 3514825000 4088444440 5110555550 7029650000 8176888880 10221111100 12776388875 14059300000 16353777760 20442222200 25552777750 40884444400 51105555500 63881944375 81768888800 102211111000 127763888750 204422222000 255527777500 319409721875 408844444000 511055555000 638819443750 1022111110000 1277638887500 2044222220000 2555277775000 5110555550000 10221111100000