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100102111222000 = 2453311614550181
BaseRepresentation
bin10110110000101011010110…
…110001111101100011110000
3111010102200001020121001122211
4112300223112301331203300
5101110033110433101000
6552522135224341504
730041065430204026
oct2660532661754360
9433380036531584
10100102111222000
1129994081145648
12b288562614894
1343b1786172374
141aa0d7a400716
15b88d4403b7ba
hex5b0ad6c7d8f0

100102111222000 has 80 divisors (see below), whose sum is σ = 249854869764864. Its totient is φ = 38749204320000.

The previous prime is 100102111221997. The next prime is 100102111222007. The reversal of 100102111222000 is 222111201001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1001021112220002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102111222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807213091 + ... + 807337090.

Almost surely, 2100102111222000 is an apocalyptic number.

100102111222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102111222000 is an abundant number, since it is smaller than the sum of its proper divisors (149752758542864).

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

100102111222000 is a wasteful number, since it uses less digits than its factorization.

100102111222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614550235 (or 1614550219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102111222000 its reverse (222111201001), we get a palindrome (100324222423001).

The spelling of 100102111222000 in words is "one hundred trillion, one hundred two billion, one hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 1614550181 3229100362 6458200724 8072750905 12916401448 16145501810 25832802896 32291003620 40363754525 50051055611 64582007240 80727509050 100102111222 129164014480 161455018100 200204222444 201818772625 250255278055 322910036200 400408444888 403637545250 500510556110 645820072400 800816889776 807275090500 1001021112220 1251276390275 1614550181000 2002042224440 2502552780550 3229100362000 4004084448880 5005105561100 6256381951375 10010211122200 12512763902750 20020422244400 25025527805500 50051055611000 100102111222000