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2100320412320 = 255132773645377
BaseRepresentation
bin11110100100000100110…
…110100010001010100000
321102210021221101211021202
4132210010312202022200
5233402424011143240
64244512431340332
7304512616640204
oct36440466421240
97383257354252
102100320412320
1173a817132459
1229b0810816a8
131230a056a8b0
14739282b8b04
153997a409315
hex1e904da22a0

2100320412320 has 96 divisors (see below), whose sum is σ = 5362992624528. Its totient is φ = 772703059968.

The previous prime is 2100320412271. The next prime is 2100320412341. The reversal of 2100320412320 is 232140230012.

It can be written as a sum of positive squares in 8 ways, for example, as 450010205584 + 1650310206736 = 670828^2 + 1284644^2 .

It is a super-2 number, since 2×21003204123202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2100320412292 and 2100320412301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246529 + ... + 2398848.

Almost surely, 22100320412320 is an apocalyptic number.

2100320412320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100320412320 is an abundant number, since it is smaller than the sum of its proper divisors (3262672212208).

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

2100320412320 is a wasteful number, since it uses less digits than its factorization.

2100320412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645682 (or 3645674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2100320412320 its reverse (232140230012), we get a palindrome (2332460642332).

The spelling of 2100320412320 in words is "two trillion, one hundred billion, three hundred twenty million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 277 416 520 554 1040 1108 1385 2080 2216 2770 3601 4432 5540 7202 8864 11080 14404 18005 22160 28808 36010 44320 57616 72020 115232 144040 288080 576160 3645377 7290754 14581508 18226885 29163016 36453770 47389901 58326032 72907540 94779802 116652064 145815080 189559604 236949505 291630160 379119208 473899010 583260320 758238416 947798020 1009769429 1516476832 1895596040 2019538858 3791192080 4039077716 5048847145 7582384160 8078155432 10097694290 13127002577 16156310864 20195388580 26254005154 32312621728 40390777160 52508010308 65635012885 80781554320 105016020616 131270025770 161563108640 210032041232 262540051540 420064082464 525080103080 1050160206160 2100320412320