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22113212130 = 23251961720959
BaseRepresentation
bin10100100110000011…
…001101011011100010
32010002002220120022200
4110212003031123202
5330241440242010
614054134514030
71411662126132
oct244603153342
963062816280
1022113212130
119418371629
124351805916
132115440409
1410dac10ac2
15896542cc0
hex5260cd6e2

22113212130 has 96 divisors (see below), whose sum is σ = 60621350400. Its totient is φ = 5577175296.

The previous prime is 22113212129. The next prime is 22113212137. The reversal of 22113212130 is 3121231122.

22113212130 is a `hidden beast` number, since 2 + 211 + 321 + 2 + 130 = 666.

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 (22113212137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044591 + ... + 1065549.

It is an arithmetic number, because the mean of its divisors is an integer number (631472400).

Almost surely, 222113212130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22113212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30310675200).

22113212130 is an abundant number, since it is smaller than the sum of its proper divisors (38508138270).

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

22113212130 is a wasteful number, since it uses less digits than its factorization.

22113212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21608 (or 21605 counting only the distinct ones).

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

Adding to 22113212130 its reverse (3121231122), we get a palindrome (25234443252).

The spelling of 22113212130 in words is "twenty-two billion, one hundred thirteen million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 617 855 1234 1710 1851 3085 3702 5553 6170 9255 11106 11723 18510 20959 23446 27765 35169 41918 55530 58615 62877 70338 104795 105507 117230 125754 175845 188631 209590 211014 314385 351690 377262 398221 527535 628770 796442 943155 1055070 1194663 1886310 1991105 2389326 3583989 3982210 5973315 7167978 11946630 12931703 17919945 25863406 35839890 38795109 64658515 77590218 116385327 129317030 193975545 232770654 245702357 387951090 491404714 581926635 737107071 1163853270 1228511785 1474214142 2211321213 2457023570 3685535355 4422642426 7371070710 11056606065 22113212130