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1102121327020 = 225727011604299
BaseRepresentation
bin10000000010011011100…
…011001101100110101100
310220100202201201100100011
4100002123203031212230
5121024121024431040
62202150232543004
7142424410465300
oct20023343154654
93810681640304
101102121327020
1139545283641a
12159722251a64
137cc1142256c
143b4b3105d00
151da06d2c3ea
hex1009b8cd9ac

1102121327020 has 72 divisors (see below), whose sum is σ = 2696167328400. Its totient is φ = 377330889600.

The previous prime is 1102121327017. The next prime is 1102121327023. The reversal of 1102121327020 is 207231212011.

It is an interprime number because it is at equal distance from previous prime (1102121327017) and next prime (1102121327023).

It is a junction number, because it is equal to n+sod(n) for n = 1102121326982 and 1102121327000.

It is not an unprimeable number, because it can be changed into a prime (1102121327023) 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, 115170 + ... + 1489129.

It is an arithmetic number, because the mean of its divisors is an integer number (37446768450).

Almost surely, 21102121327020 is an apocalyptic number.

1102121327020 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 1102121327020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348083664200).

1102121327020 is an abundant number, since it is smaller than the sum of its proper divisors (1594046001380).

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

1102121327020 is a wasteful number, since it uses less digits than its factorization.

1102121327020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605023 (or 1605014 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 1102121327020 its reverse (207231212011), we get a palindrome (1309352539031).

The spelling of 1102121327020 in words is "one trillion, one hundred two billion, one hundred twenty-one million, three hundred twenty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 701 980 1402 2804 3505 4907 7010 9814 14020 19628 24535 34349 49070 68698 98140 137396 171745 343490 686980 1604299 3208598 6417196 8021495 11230093 16042990 22460186 32085980 44920372 56150465 78610651 112300930 157221302 224601860 314442604 393053255 786106510 1124613599 1572213020 2249227198 4498454396 5623067995 7872295193 11246135990 15744590386 22492271980 31489180772 39361475965 55106066351 78722951930 110212132702 157445903860 220424265404 275530331755 551060663510 1102121327020