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11197022004 = 22327891014943
BaseRepresentation
bin10100110110110010…
…01111111100110100
31001220100011122121200
422123121033330310
5140412414201004
65051023012500
7544321055010
oct123331177464
931810148550
1011197022004
1148264773a3
122205a3a130
1310959ab30c
14783119540
1545800b239
hex29b64ff34

11197022004 has 144 divisors (see below), whose sum is σ = 33040949760. Its totient is φ = 3131251200.

The previous prime is 11197021987. The next prime is 11197022009. The reversal of 11197022004 is 40022079111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11197022009) 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, 2262757 + ... + 2267699.

It is an arithmetic number, because the mean of its divisors is an integer number (229451040).

Almost surely, 211197022004 is an apocalyptic number.

11197022004 is a gapful number since it is divisible by the number (14) 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 11197022004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520474880).

11197022004 is an abundant number, since it is smaller than the sum of its proper divisors (21843927756).

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

11197022004 is a wasteful number, since it uses less digits than its factorization.

11197022004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11197022004 in words is "eleven billion, one hundred ninety-seven million, twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 101 126 178 202 252 267 303 356 404 534 606 623 707 801 909 1068 1212 1246 1414 1602 1818 1869 2121 2492 2828 3204 3636 3738 4242 4943 5607 6363 7476 8484 8989 9886 11214 12726 14829 17978 19772 22428 25452 26967 29658 34601 35956 44487 53934 59316 62923 69202 80901 88974 103803 107868 125846 138404 161802 177948 188769 207606 251692 311409 323604 377538 415212 439927 499243 566307 622818 755076 879854 998486 1132614 1245636 1319781 1497729 1759708 1996972 2265228 2639562 2995458 3079489 3494701 3959343 4493187 5279124 5990916 6158978 6989402 7918686 8986374 9238467 10484103 12317956 13978804 15837372 17972748 18476934 20968206 27715401 31452309 36953868 41936412 44432627 55430802 62904618 88865254 110861604 125809236 133297881 177730508 266595762 311028389 399893643 533191524 622056778 799787286 933085167 1244113556 1599574572 1866170334 2799255501 3732340668 5598511002 11197022004