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10434434220 = 22325745718121
BaseRepresentation
bin10011011011111000…
…01101010010101100
3222221012020011211200
421231330031102230
5132332203343340
64443222045500
7516401141010
oct115574152254
928835204750
1010434434220
114474a69961
122032579890
13ca39c7142
1470db2c540
154110c4330
hex26df0d4ac

10434434220 has 144 divisors (see below), whose sum is σ = 36253858368. Its totient is φ = 2379663360.

The previous prime is 10434434189. The next prime is 10434434221. The reversal of 10434434220 is 2243443401.

It is a happy number.

10434434220 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 434 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (10434434221) 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, 566760 + ... + 584880.

Almost surely, 210434434220 is an apocalyptic number.

10434434220 is a gapful number since it is divisible by the number (10) 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 10434434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18126929184).

10434434220 is an abundant number, since it is smaller than the sum of its proper divisors (25819424148).

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

10434434220 is a wasteful number, since it uses less digits than its factorization.

10434434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18600 (or 18595 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10434434220 its reverse (2243443401), we get a palindrome (12677877621).

The spelling of 10434434220 in words is "ten billion, four hundred thirty-four million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 457 630 914 1260 1371 1828 2285 2742 3199 4113 4570 5484 6398 6855 8226 9140 9597 12796 13710 15995 16452 18121 19194 20565 27420 28791 31990 36242 38388 41130 47985 54363 57582 63980 72484 82260 90605 95970 108726 115164 126847 143955 163089 181210 191940 217452 253694 271815 287910 326178 362420 380541 507388 543630 575820 634235 652356 761082 815445 1087260 1141623 1268470 1522164 1630890 1902705 2283246 2536940 3261780 3805410 4566492 5708115 7610820 8281297 11416230 16562594 22832460 24843891 33125188 41406485 49687782 57969079 74531673 82812970 99375564 115938158 124219455 149063346 165625940 173907237 231876316 248438910 289845395 298126692 347814474 372658365 496877820 521721711 579690790 695628948 745316730 869536185 1043443422 1159381580 1490633460 1739072370 2086886844 2608608555 3478144740 5217217110 10434434220