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10202244411304 = 231141101173161831
BaseRepresentation
bin1001010001110110010100…
…1001110110111110101000
31100010022202221202211211101
42110131211021312332220
52314123144032130204
633410502452411144
72102042061440431
oct224354511667650
940108687684741
1010202244411304
113283824aa86a0
12118931b016ab4
135900b545870a
14273b1132c488
1512a5b5457ea4
hex94765276fa8

10202244411304 has 128 divisors (see below), whose sum is σ = 21713789180160. Its totient is φ = 4453561600000.

The previous prime is 10202244411301. The next prime is 10202244411353. The reversal of 10202244411304 is 40311444220201.

It is not an unprimeable number, because it can be changed into a prime (10202244411301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62961669 + ... + 63123499.

It is an arithmetic number, because the mean of its divisors is an integer number (169638977970).

Almost surely, 210202244411304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202244411304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856894590080).

10202244411304 is an abundant number, since it is smaller than the sum of its proper divisors (11511544768856).

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

10202244411304 is a wasteful number, since it uses less digits than its factorization.

10202244411304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162163 (or 162159 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10202244411304 its reverse (40311444220201), we get a palindrome (50513688631505).

The spelling of 10202244411304 in words is "ten trillion, two hundred two billion, two hundred forty-four million, four hundred eleven thousand, three hundred four".

Divisors: 1 2 4 8 11 22 41 44 82 88 101 164 173 202 328 346 404 451 692 808 902 1111 1384 1804 1903 2222 3608 3806 4141 4444 7093 7612 8282 8888 14186 15224 16564 17473 28372 33128 34946 45551 56744 69892 78023 91102 139784 156046 161831 182204 192203 312092 323662 364408 384406 624184 647324 716393 768812 1294648 1432786 1537624 1780141 2865572 3560282 5731144 6635071 7120564 7880323 13270142 14241128 15760646 16344931 26540284 27996763 31521292 32689862 53080568 55993526 63042584 65379724 72985781 111987052 130759448 145971562 179794241 223974104 291943124 307964393 359588482 583886248 615928786 670142171 719176964 1147867283 1231857572 1340284342 1438353928 2295734566 2463715144 2680568684 2827673063 4591469132 5361137368 5655346126 7371563881 9182938264 11310692252 12626540113 14743127762 22621384504 25253080226 29486255524 31104403693 50506160452 58972511048 62208807386 101012320904 115934595583 124417614772 231869191166 248835229544 463738382332 927476764664 1275280551413 2550561102826 5101122205652 10202244411304