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20420102144 = 211132333347
BaseRepresentation
bin10011000001001000…
…100000100000000000
31221201010000200001102
4103001020200200000
5313310021232034
613214133353532
71322013001331
oct230110404000
957633020042
1020420102144
118729684a82
123b5a7988a8
131c05736ca0
14dba000288
157e7aa097e
hex4c1220800

20420102144 has 96 divisors (see below), whose sum is σ = 45884180160. Its totient is φ = 9014624256.

The previous prime is 20420102107. The next prime is 20420102179. The reversal of 20420102144 is 44120102402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595679 + ... + 629025.

It is an arithmetic number, because the mean of its divisors is an integer number (477960210).

Almost surely, 220420102144 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 20420102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22942090080).

20420102144 is an abundant number, since it is smaller than the sum of its proper divisors (25464078016).

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

20420102144 is a wasteful number, since it uses less digits than its factorization.

20420102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33405 (or 33385 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20420102144 its reverse (44120102402), we get a palindrome (64540204546).

The spelling of 20420102144 in words is "twenty billion, four hundred twenty million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1024 1196 1472 1664 2048 2392 2944 3328 4784 5888 6656 9568 11776 13312 19136 23552 26624 33347 38272 47104 66694 76544 133388 153088 266776 306176 433511 533552 612352 766981 867022 1067104 1533962 1734044 2134208 3067924 3468088 4268416 6135848 6936176 8536832 9970753 12271696 13872352 17073664 19941506 24543392 27744704 34147328 39883012 49086784 55489408 68294656 79766024 98173568 110978816 159532048 196347136 221957632 319064096 392694272 443915264 638128192 785388544 887830528 1276256384 1570777088 2552512768 5105025536 10210051072 20420102144