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1010020122120 = 233517618116523
BaseRepresentation
bin11101011001010011110…
…00111111111000001000
310120120001001001100222010
432230221320333320020
5113022010122401440
62051555152255520
7132654145246032
oct16545170777010
93516031040863
101010020122120
1135a390033a59
121438b98415a0
13743241acb99
1436c57126c52
151b41629b580
hexeb29e3fe08

1010020122120 has 128 divisors (see below), whose sum is σ = 3260894682240. Its totient is φ = 249339555840.

The previous prime is 1010020122113. The next prime is 1010020122149. The reversal of 1010020122120 is 212210200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010020122096 and 1010020122105.

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, 3933822 + ... + 4182701.

It is an arithmetic number, because the mean of its divisors is an integer number (25475739705).

Almost surely, 21010020122120 is an apocalyptic number.

1010020122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010020122120 is an abundant number, since it is smaller than the sum of its proper divisors (2250874560120).

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

1010020122120 is a wasteful number, since it uses less digits than its factorization.

1010020122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8116615 (or 8116611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010020122120 its reverse (212210200101), we get a palindrome (1222230322221).

The spelling of 1010020122120 in words is "one trillion, ten billion, twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 61 68 85 102 120 122 136 170 183 204 244 255 305 340 366 408 488 510 610 680 732 915 1020 1037 1220 1464 1830 2040 2074 2440 3111 3660 4148 5185 6222 7320 8296 10370 12444 15555 20740 24888 31110 41480 62220 124440 8116523 16233046 24349569 32466092 40582615 48699138 64932184 81165230 97398276 121747845 137980891 162330460 194796552 243495690 275961782 324660920 413942673 486991380 495107903 551923564 689904455 827885346 973982760 990215806 1103847128 1379808910 1485323709 1655770692 1980431612 2069713365 2475539515 2759617820 2970647418 3311541384 3960863224 4139426730 4951079030 5519235640 5941294836 7426618545 8278853460 8416834351 9902158060 11882589672 14853237090 16557706920 16833668702 19804316120 25250503053 29706474180 33667337404 42084171755 50501006106 59412948360 67334674808 84168343510 101002012212 126252515265 168336687020 202004024424 252505030530 336673374040 505010061060 1010020122120