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201202211012220 = 2232511313277976719
BaseRepresentation
bin101101101111111000001010…
…010100001011111001111100
3222101101202002000202020010100
4231233320022110023321330
5202332444112004342340
61551531004131441100
760244244232313365
oct5557701224137174
9871352060666110
10201202211012220
1159122418870670
121a696405456190
138836396962732
14379834ba54b6c
15183dae7e1e830
hexb6fe0a50be7c

201202211012220 has 144 divisors (see below), whose sum is σ = 687273711022080. Its totient is φ = 47202864739200.

The previous prime is 201202211012191. The next prime is 201202211012239. The reversal of 201202211012220 is 22210112202102.

It is a happy number.

201202211012220 is a `hidden beast` number, since 2 + 0 + 120 + 221 + 101 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201202211012193 and 201202211012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1638926980 + ... + 1639049739.

It is an arithmetic number, because the mean of its divisors is an integer number (4772734104320).

Almost surely, 2201202211012220 is an apocalyptic number.

201202211012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202211012220 is an abundant number, since it is smaller than the sum of its proper divisors (486071500009860).

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

201202211012220 is a wasteful number, since it uses less digits than its factorization.

201202211012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277976776 (or 3277976771 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201202211012220 its reverse (22210112202102), we get a palindrome (223412323214322).

The spelling of 201202211012220 in words is "two hundred one trillion, two hundred two billion, two hundred eleven million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 3277976719 6555953438 9833930157 13111906876 16389883595 19667860314 29501790471 32779767190 36057743909 39335720628 49169650785 59003580942 65559534380 72115487818 98339301570 101617278289 108173231727 118007161884 144230975636 147508952355 180288719545 196678603140 203234556578 216346463454 295017904710 304851834867 324519695181 360577439090 406469113156 432692926908 508086391445 540866158635 590035809420 609703669734 649039390362 721154878180 914555504601 1016172782890 1081732317270 1117790061179 1219407339468 1298078780724 1524259174335 1622598475905 1829111009202 2032345565780 2163464634540 2235580122358 3048518348670 3245196951810 3353370183537 3658222018404 4471160244716 4572777523005 5588950305895 6097036697340 6490393903620 6706740367074 9145555046010 10060110550611 11177900611790 13413480734148 16766850917685 18291110092020 20120221101222 22355801223580 33533701835370 40240442202444 50300552753055 67067403670740 100601105506110 201202211012220