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221123120130 = 233511337322073
BaseRepresentation
bin1100110111101111110…
…1110000110000000010
3210010202110011100221000
43031323331300300002
512110330004321010
6245325455512430
721655431336423
oct3157375606002
9703673140830
10221123120130
1185861266a80
1236a31828716
1317b0c5b1123
14a9b960364a
155b42ae17c0
hex337bf70c02

221123120130 has 128 divisors (see below), whose sum is σ = 643487120640. Its totient is φ = 53587284480.

The previous prime is 221123120129. The next prime is 221123120131. The reversal of 221123120130 is 31021321122.

221123120130 is a `hidden beast` number, since 221 + 1 + 2 + 312 + 0 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (221123120129) and next prime (221123120131).

It is a super-2 number, since 2×2211231201302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221123120131) 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, 10006774 + ... + 10028846.

It is an arithmetic number, because the mean of its divisors is an integer number (5027243130).

Almost surely, 2221123120130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221123120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321743560320).

221123120130 is an abundant number, since it is smaller than the sum of its proper divisors (422364000510).

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

221123120130 is a wasteful number, since it uses less digits than its factorization.

221123120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25473 (or 25467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221123120130 its reverse (31021321122), we get a palindrome (252144441252).

The spelling of 221123120130 in words is "two hundred twenty-one billion, one hundred twenty-three million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 3373 6746 10119 16865 20238 22073 30357 33730 37103 44146 50595 60714 66219 74206 91071 101190 110365 111309 132438 151785 182142 185515 198657 220730 222618 242803 303570 331095 333927 371030 397314 455355 485606 556545 595971 662190 667854 728409 910710 993285 1001781 1113090 1191942 1214015 1456818 1669635 1986570 2003562 2185227 2428030 2979855 3339270 3642045 4370454 5008905 5959710 6555681 7284090 10017810 10926135 13111362 21852270 32778405 65556810 74452229 148904458 223356687 372261145 446713374 670070061 744522290 818974519 1116783435 1340140122 1637949038 2010210183 2233566870 2456923557 3350350305 4020420366 4094872595 4913847114 6700700610 7370770671 8189745190 10051050915 12284617785 14741541342 20102101830 22112312013 24569235570 36853853355 44224624026 73707706710 110561560065 221123120130