Search a number
-
+
1100100222100 = 2252116714926733
BaseRepresentation
bin10000000000100011000…
…101010011110010010100
310220011112212122120121101
4100000203011103302110
5121011001124101400
62201213513355444
7142323336413155
oct20004305236224
93804485576541
101100100222100
11394605994380
12159259408b84
137c97b798ba9
143b36091592c
151d93969b56a
hex10023153c94

1100100222100 has 72 divisors (see below), whose sum is σ = 2643106642848. Its totient is φ = 394065724800.

The previous prime is 1100100222049. The next prime is 1100100222101. The reversal of 1100100222100 is 12220010011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100222101) 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, 7389667 + ... + 7537066.

It is an arithmetic number, because the mean of its divisors is an integer number (36709814484).

Almost surely, 21100100222100 is an apocalyptic number.

1100100222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100100222100 is an abundant number, since it is smaller than the sum of its proper divisors (1543006420748).

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

1100100222100 is a wasteful number, since it uses less digits than its factorization.

1100100222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14926825 (or 14926818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100100222100 its reverse (12220010011), we get a palindrome (1112320232111).

The spelling of 1100100222100 in words is "one trillion, one hundred billion, one hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 14926733 29853466 59706932 74633665 149267330 164194063 298534660 328388126 373168325 656776252 746336650 820970315 1000091111 1492673300 1641940630 2000182222 3283881260 4000364444 4104851575 5000455555 8209703150 10000911110 11001002221 16419406300 20001822220 22002004442 25002277775 44004008884 50004555550 55005011105 100009111100 110010022210 220020044420 275025055525 550050111050 1100100222100