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1220320001000 = 235310322353129
BaseRepresentation
bin10001110000100000101…
…111010111101111101000
311022122212012101010002002
4101300200233113233220
5124443203410013000
62332335100430132
7154110444601322
oct21604057275750
94278765333062
101220320001000
11430597910651
1217860a848348
138b0ca374139
14430c710c612
1521b23ab68d5
hex11c20bd7be8

1220320001000 has 128 divisors (see below), whose sum is σ = 2896256563200. Its totient is φ = 481212172800.

The previous prime is 1220320000961. The next prime is 1220320001009. The reversal of 1220320001000 is 1000230221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1220320001009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22942436 + ... + 22995564.

It is an arithmetic number, because the mean of its divisors is an integer number (22627004400).

Almost surely, 21220320001000 is an apocalyptic number.

1220320001000 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 1220320001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448128281600).

1220320001000 is an abundant number, since it is smaller than the sum of its proper divisors (1675936562200).

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

1220320001000 is a wasteful number, since it uses less digits than its factorization.

1220320001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53476 (or 53462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1220320001000 its reverse (1000230221), we get a palindrome (1221320231221).

The spelling of 1220320001000 in words is "one trillion, two hundred twenty billion, three hundred twenty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 223 250 412 446 500 515 824 892 1000 1030 1115 1784 2060 2230 2575 4120 4460 5150 5575 8920 10300 11150 12875 20600 22300 22969 25750 27875 44600 45938 51500 53129 55750 91876 103000 106258 111500 114845 183752 212516 223000 229690 265645 425032 459380 531290 574225 918760 1062580 1148450 1328225 2125160 2296900 2656450 2871125 4593800 5312900 5472287 5742250 6641125 10625800 10944574 11484500 11847767 13282250 21889148 22969000 23695534 26564500 27361435 43778296 47391068 53129000 54722870 59238835 94782136 109445740 118477670 136807175 218891480 236955340 273614350 296194175 473910680 547228700 592388350 684035875 1094457400 1184776700 1220320001 1368071750 1480970875 2369553400 2440640002 2736143500 2961941750 4881280004 5472287000 5923883500 6101600005 9762560008 11847767000 12203200010 24406400020 30508000025 48812800040 61016000050 122032000100 152540000125 244064000200 305080000250 610160000500 1220320001000