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1220556510030 = 235111331683503
BaseRepresentation
bin10001110000101110110…
…101100101001101001110
311022200110200102000110210
4101300232311211031032
5124444144431310110
62332414345543250
7154116346104114
oct21605665451516
94280420360423
101220556510030
114306a936a360
12178675aa4b26
138b137372000
144310a6b5ab4
1521b39733520
hex11c2ed6534e

1220556510030 has 128 divisors (see below), whose sum is σ = 3461822945280. Its totient is φ = 273131364480.

The previous prime is 1220556510011. The next prime is 1220556510037. The reversal of 1220556510030 is 300156550221.

It is a happy number.

It is a super-2 number, since 2×12205565100302 (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 self number, because there is not a number n which added to its sum of digits gives 1220556510030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220556510037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116742 + ... + 1566761.

It is an arithmetic number, because the mean of its divisors is an integer number (27045491760).

Almost surely, 21220556510030 is an apocalyptic number.

1220556510030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220556510030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730911472640).

1220556510030 is an abundant number, since it is smaller than the sum of its proper divisors (2241266435250).

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

1220556510030 is a wasteful number, since it uses less digits than its factorization.

1220556510030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683563 (or 1683537 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1220556510030 in words is "one trillion, two hundred twenty billion, five hundred fifty-six million, five hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 286 330 338 390 429 507 715 845 858 1014 1430 1690 1859 2145 2197 2535 3718 4290 4394 5070 5577 6591 9295 10985 11154 13182 18590 21970 24167 27885 32955 48334 55770 65910 72501 120835 145002 241670 362505 725010 1683503 3367006 5050509 8417515 10101018 16835030 18518533 21885539 25252545 37037066 43771078 50505090 55555599 65656617 92592665 109427695 111111198 131313234 185185330 218855390 240740929 277777995 284512007 328283085 481481858 555555990 569024014 656566170 722222787 853536021 1203704645 1422560035 1444445574 1707072042 2407409290 2845120070 3129632077 3611113935 3698656091 4267680105 6259264154 7222227870 7397312182 8535360210 9388896231 11095968273 15648160385 18493280455 18777792462 22191936546 31296320770 36986560910 40685217001 46944481155 55479841365 81370434002 93888962310 110959682730 122055651003 203426085005 244111302006 406852170010 610278255015 1220556510030