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10220103040 = 275719120067
BaseRepresentation
bin10011000010010101…
…00110010110000000
3222101020221000201211
421201022212112000
5131412321244130
64410044135504
7511156304530
oct114112462600
928336830654
1010220103040
114374a88754
121b92837594
13c6b492a64
146cd4994c0
153ec388a2a
hex2612a6580

10220103040 has 128 divisors (see below), whose sum is σ = 29392646400. Its totient is φ = 3319584768.

The previous prime is 10220103029. The next prime is 10220103041. The reversal of 10220103040 is 4030102201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×102201030402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10220103040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220103041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25087 + ... + 145153.

It is an arithmetic number, because the mean of its divisors is an integer number (229630050).

Almost surely, 210220103040 is an apocalyptic number.

10220103040 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 10220103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696323200).

10220103040 is an abundant number, since it is smaller than the sum of its proper divisors (19172543360).

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

10220103040 is a wasteful number, since it uses less digits than its factorization.

10220103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120112 (or 120100 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10220103040 its reverse (4030102201), we get a palindrome (14250205241).

The spelling of 10220103040 in words is "ten billion, two hundred twenty million, one hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1330 1520 2128 2240 2432 2660 3040 4256 4480 5320 6080 8512 10640 12160 17024 21280 42560 85120 120067 240134 480268 600335 840469 960536 1200670 1680938 1921072 2281273 2401340 3361876 3842144 4202345 4562546 4802680 6723752 7684288 8404690 9125092 9605360 11406365 13447504 15368576 15968911 16809380 18250184 19210720 22812730 26895008 31937822 33618760 36500368 38421440 45625460 53790016 63875644 67237520 73000736 76842880 79844555 91250920 107580032 127751288 134475040 146001472 159689110 182501840 255502576 268950080 292002944 319378220 365003680 511005152 537900160 638756440 730007360 1022010304 1277512880 1460014720 2044020608 2555025760 5110051520 10220103040