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41002201320 = 23355333119477
BaseRepresentation
bin100110001011111010…
…111111000011101000
310220211111212122020220
4212023322333003220
51132433030420240
630500335250040
72651033650353
oct461372770350
9126744778226
1041002201320
11164307457a3
127b43679920
133b358b06b2
141dad72d29a
1510ee9a05d0
hex98bebf0e8

41002201320 has 128 divisors (see below), whose sum is σ = 125712570240. Its totient is φ = 10694661120.

The previous prime is 41002201277. The next prime is 41002201363. The reversal of 41002201320 is 2310220014.

It is an interprime number because it is at equal distance from previous prime (41002201277) and next prime (41002201363).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41002201320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2095422 + ... + 2114898.

It is an arithmetic number, because the mean of its divisors is an integer number (982129455).

Almost surely, 241002201320 is an apocalyptic number.

41002201320 is a gapful number since it is divisible by the number (40) 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 41002201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62856285120).

41002201320 is an abundant number, since it is smaller than the sum of its proper divisors (84710368920).

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

41002201320 is a wasteful number, since it uses less digits than its factorization.

41002201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19875 (or 19871 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 41002201320 its reverse (2310220014), we get a palindrome (43312421334).

The spelling of 41002201320 in words is "forty-one billion, two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 331 424 530 636 662 795 993 1060 1272 1324 1590 1655 1986 2120 2648 3180 3310 3972 4965 6360 6620 7944 9930 13240 17543 19477 19860 35086 38954 39720 52629 58431 70172 77908 87715 97385 105258 116862 140344 155816 175430 194770 210516 233724 263145 292155 350860 389540 421032 467448 526290 584310 701720 779080 1032281 1052580 1168620 2064562 2105160 2337240 3096843 4129124 5161405 6193686 6446887 8258248 10322810 12387372 12893774 15484215 19340661 20645620 24774744 25787548 30968430 32234435 38681322 41291240 51575096 61936860 64468870 77362644 96703305 123873720 128937740 154725288 193406610 257875480 341685011 386813220 683370022 773626440 1025055033 1366740044 1708425055 2050110066 2733480088 3416850110 4100220132 5125275165 6833700220 8200440264 10250550330 13667400440 20501100660 41002201320