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20281135104 = 2123461129
BaseRepresentation
bin10010111000110110…
…011001000000000000
31221100102112102010000
4102320312121000000
5313013432310404
613152251040000
71315404542526
oct227066310000
957312472100
1020281135104
118668198a8a
123b20140000
131bb29cbb79
14da5788316
157da7a0339
hex4b8d99000

20281135104 has 130 divisors (see below), whose sum is σ = 60586615430. Its totient is φ = 6760267776.

The previous prime is 20281135087. The next prime is 20281135117. The reversal of 20281135104 is 40153118202.

It can be written as a sum of positive squares in only one way, i.e., 12615782400 + 7665352704 = 112320^2 + 87552^2 .

It is a super-2 number, since 2×202811351042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 301212 + ... + 362340.

Almost surely, 220281135104 is an apocalyptic number.

20281135104 is a gapful number since it is divisible by the number (24) 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 20281135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30293307715).

20281135104 is an abundant number, since it is smaller than the sum of its proper divisors (40305480326).

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

20281135104 is an frugal number, since it uses more digits than its factorization.

20281135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61165 (or 61134 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20281135104 in words is "twenty billion, two hundred eighty-one million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 9216 10368 12288 13824 18432 20736 27648 36864 41472 55296 61129 82944 110592 122258 165888 183387 244516 331776 366774 489032 550161 733548 978064 1100322 1467096 1650483 1956128 2200644 2934192 3300966 3912256 4401288 4951449 5868384 6601932 7824512 8802576 9902898 11736768 13203864 15649024 17605152 19805796 23473536 26407728 31298048 35210304 39611592 46947072 52815456 62596096 70420608 79223184 93894144 105630912 125192192 140841216 158446368 187788288 211261824 250384384 281682432 316892736 375576576 422523648 563364864 633785472 751153152 845047296 1126729728 1267570944 1690094592 2253459456 2535141888 3380189184 5070283776 6760378368 10140567552 20281135104