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1220510554140 = 223561458372763
BaseRepresentation
bin10001110000101100000…
…110010001100000011100
311022200100110221012211210
4101300230012101200130
5124444101200213030
62332410024544420
7154115250351663
oct21605406214034
94280313835753
101220510554140
11430685430a89
12178662622110
138b12a9a1587
1443104551dda
1521b356a6bb0
hex11c2c19181c

1220510554140 has 96 divisors (see below), whose sum is σ = 3474258633216. Its totient is φ = 320059664640.

The previous prime is 1220510554139. The next prime is 1220510554163. The reversal of 1220510554140 is 414550150221.

It is a super-2 number, since 2×12205105541402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1220510554098 and 1220510554107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16737399 + ... + 16810161.

It is an arithmetic number, because the mean of its divisors is an integer number (36190194096).

Almost surely, 21220510554140 is an apocalyptic number.

1220510554140 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 1220510554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737129316608).

1220510554140 is an abundant number, since it is smaller than the sum of its proper divisors (2253748079076).

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

1220510554140 is a wasteful number, since it uses less digits than its factorization.

1220510554140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77419 (or 77417 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 1220510554140 in words is "one trillion, two hundred twenty billion, five hundred ten million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 4583 9166 13749 18332 22915 27498 45830 54996 68745 72763 91660 137490 145526 218289 274980 279563 291052 363815 436578 559126 727630 838689 873156 1091445 1118252 1397815 1455260 1677378 2182890 2795630 3354756 4193445 4365780 4438543 5591260 8386890 8877086 13315629 16773780 17754172 22192715 26631258 44385430 53262516 66578145 88770860 133156290 266312580 333472829 666945658 1000418487 1333891316 1667364145 2000836974 3334728290 4001673948 5002092435 6669456580 10004184870 20008369740 20341842569 40683685138 61025527707 81367370276 101709212845 122051055414 203418425690 244102110828 305127638535 406836851380 610255277070 1220510554140