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1000212022100 = 2252174313682791
BaseRepresentation
bin11101000111000010100…
…10000100001101010100
310112121201111101021010102
432203201102010031110
5112341413234201400
62043254022513232
7132156120624164
oct16434122041524
93477644337112
101000212022100
1135620767a275
12141a20b95818
13734201a1bc5
14365a66785a4
151b0401979d5
hexe8e1484354

1000212022100 has 72 divisors (see below), whose sum is σ = 2351579364288. Its totient is φ = 367793395200.

The previous prime is 1000212022097. The next prime is 1000212022111. The reversal of 1000212022100 is 12202120001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6768296 + ... + 6914495.

It is an arithmetic number, because the mean of its divisors is an integer number (32660824504).

Almost surely, 21000212022100 is an apocalyptic number.

1000212022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212022100 is an abundant number, since it is smaller than the sum of its proper divisors (1351367342188).

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

1000212022100 is a wasteful number, since it uses less digits than its factorization.

1000212022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13682865 (or 13682858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000212022100 its reverse (12202120001), we get a palindrome (1012414142101).

The spelling of 1000212022100 in words is "one trillion, two hundred twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 425 430 731 850 860 1075 1462 1700 2150 2924 3655 4300 7310 14620 18275 36550 73100 13682791 27365582 54731164 68413955 136827910 232607447 273655820 342069775 465214894 588360013 684139550 930429788 1163037235 1176720026 1368279100 2326074470 2353440052 2941800065 4652148940 5815186175 5883600130 10002120221 11630372350 11767200260 14709000325 20004240442 23260744700 29418000650 40008480884 50010601105 58836001300 100021202210 200042404420 250053005525 500106011050 1000212022100