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21121002198 = 23217835571493
BaseRepresentation
bin10011101010111010…
…001110101011010110
32000111221220002011200
4103222322032223112
5321223434032243
613411452213330
71345253361612
oct235272165326
960457802150
1021121002198
118a5928961a
12411546a246
131cb79ccc4a
141045130342
1583939ead3
hex4eae8ead6

21121002198 has 96 divisors (see below), whose sum is σ = 49158791136. Its totient is φ = 6530233344.

The previous prime is 21121002187. The next prime is 21121002211. The reversal of 21121002198 is 89120012112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14145940 + ... + 14147432.

It is an arithmetic number, because the mean of its divisors is an integer number (512070741).

Almost surely, 221121002198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121002198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579395568).

21121002198 is an abundant number, since it is smaller than the sum of its proper divisors (28037788938).

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

21121002198 is a wasteful number, since it uses less digits than its factorization.

21121002198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 21121002198 in words is "twenty-one billion, one hundred twenty-one million, two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 557 747 1114 1411 1493 1494 1671 2822 2986 3342 4233 4479 5013 8466 8958 9469 10026 12699 13437 18938 25381 25398 26874 28407 46231 50762 56814 76143 85221 92462 123919 138693 152286 170442 228429 247838 277386 371757 416079 456858 743514 785927 831601 832158 1115271 1571854 1663202 2106623 2230542 2357781 2494803 4213246 4715562 4989606 6319869 7073343 7484409 12639738 14137217 14146686 14968818 18959607 28274434 37919214 42411651 69022883 84823302 127234953 138045766 207068649 254469906 414137298 621205947 1173389011 1242411894 2346778022 3520167033 7040334066 10560501099 21121002198