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10122122220220 = 22531199142357653
BaseRepresentation
bin1001001101001011110101…
…1111111101001010111100
31022211122222002201211011201
42103102331133331022330
52311320101242021340
633310012212025244
72063204424160543
oct223227537751274
938748862654151
1010122122220220
11325284a12364a
12117589a302224
13585686c105aa
1426dcb026715a
1512847639e79a
hex934bd7fd2bc

10122122220220 has 96 divisors (see below), whose sum is σ = 22068290764800. Its totient is φ = 3895743962880.

The previous prime is 10122122220209. The next prime is 10122122220233. The reversal of 10122122220220 is 2202222122101.

It is a congruent number.

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, 175540914 + ... + 175598566.

It is an arithmetic number, because the mean of its divisors is an integer number (229878028800).

Almost surely, 210122122220220 is an apocalyptic number.

10122122220220 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 10122122220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11034145382400).

10122122220220 is an abundant number, since it is smaller than the sum of its proper divisors (11946168544580).

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

10122122220220 is a wasteful number, since it uses less digits than its factorization.

10122122220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59315 (or 59313 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10122122220220 its reverse (2202222122101), we get a palindrome (12324344342321).

The spelling of 10122122220220 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 199 310 398 620 796 995 1423 1990 2846 3980 5692 6169 7115 12338 14230 24676 28460 30845 44113 57653 61690 88226 115306 123380 176452 220565 230612 283177 288265 441130 566354 576530 882260 1132708 1153060 1415885 1787243 2831770 3574486 5663540 7148972 8778487 8936215 11472947 17556974 17872430 22945894 35113948 35744860 43892435 45891788 57364735 82040219 87784870 114729470 164080438 175569740 229458940 328160876 355661357 410201095 711322714 820402190 1422645428 1640804380 1778306785 2543246789 3556613570 5086493578 7113227140 10172987156 12716233945 16326003581 25432467890 32652007162 50864935780 65304014324 81630017905 163260035810 326520071620 506106111011 1012212222022 2024424444044 2530530555055 5061061110110 10122122220220