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1020123313320 = 2335371092107867
BaseRepresentation
bin11101101100001000001…
…01100111010010101000
310121112010010222122210210
432312010011213102220
5113203203032011240
62100345502541120
7133462415043666
oct16660405472250
93545103878723
101020123313320
113636a501a051
121458592977a0
137527438a527
1437534c6bc36
151b80823e780
hexed841674a8

1020123313320 has 128 divisors (see below), whose sum is σ = 3171919766400. Its totient is φ = 262252256256.

The previous prime is 1020123313303. The next prime is 1020123313337. The reversal of 1020123313320 is 233133210201.

It is an interprime number because it is at equal distance from previous prime (1020123313303) and next prime (1020123313337).

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, 569974 + ... + 1537893.

It is an arithmetic number, because the mean of its divisors is an integer number (24780623175).

Almost surely, 21020123313320 is an apocalyptic number.

1020123313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020123313320 is an abundant number, since it is smaller than the sum of its proper divisors (2151796453080).

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

1020123313320 is a wasteful number, since it uses less digits than its factorization.

1020123313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108027 (or 2108023 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1020123313320 its reverse (233133210201), we get a palindrome (1253256523521).

The spelling of 1020123313320 in words is "one trillion, twenty billion, one hundred twenty-three million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 109 111 120 148 185 218 222 296 327 370 436 444 545 555 654 740 872 888 1090 1110 1308 1480 1635 2180 2220 2616 3270 4033 4360 4440 6540 8066 12099 13080 16132 20165 24198 32264 40330 48396 60495 80660 96792 120990 161320 241980 483960 2107867 4215734 6323601 8431468 10539335 12647202 16862936 21078670 25294404 31618005 42157340 50588808 63236010 77991079 84314680 126472020 155982158 229757503 233973237 252944040 311964316 389955395 459515006 467946474 623928632 689272509 779910790 919030012 935892948 1148787515 1169866185 1378545018 1559821580 1838060024 1871785896 2297575030 2339732370 2757090036 3119643160 3446362545 4595150060 4679464740 5514180072 6892725090 8501027611 9190300120 9358929480 13785450180 17002055222 25503082833 27570900360 34004110444 42505138055 51006165666 68008220888 85010276110 102012331332 127515414165 170020552220 204024662664 255030828330 340041104440 510061656660 1020123313320