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1011220022100 = 2235243306125609
BaseRepresentation
bin11101011011100010110…
…10010000001101010100
310120200010122212121022010
432231301122100031110
5113031434311201400
62052314214304220
7133025655236511
oct16556132201524
93520118777263
101011220022100
1135a946381632
12143b93658070
137448596a982
1436d2c62c308
151b4867b7450
hexeb71690354

1011220022100 has 144 divisors (see below), whose sum is σ = 2994933381440. Its totient is φ = 263291212800.

The previous prime is 1011220022077. The next prime is 1011220022107. The reversal of 1011220022100 is 12200221101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011220022107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39474096 + ... + 39499704.

Almost surely, 21011220022100 is an apocalyptic number.

1011220022100 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 1011220022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497466690720).

1011220022100 is an abundant number, since it is smaller than the sum of its proper divisors (1983713359340).

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

1011220022100 is a wasteful number, since it uses less digits than its factorization.

1011220022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28730 (or 28723 counting only the distinct ones).

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

Adding to 1011220022100 its reverse (12200221101), we get a palindrome (1023420243201).

The spelling of 1011220022100 in words is "one trillion, eleven billion, two hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3061 3225 4300 6122 6450 9183 12244 12900 15305 18366 25609 30610 36732 45915 51218 61220 76525 76827 91830 102436 128045 131623 153050 153654 183660 229575 256090 263246 306100 307308 384135 394869 459150 512180 526492 640225 658115 768270 789738 918300 1101187 1280450 1316230 1536540 1579476 1920675 1974345 2202374 2560900 2632460 3290575 3303561 3841350 3948690 4404748 5505935 6581150 6607122 7682700 7897380 9871725 11011870 13162300 13214244 16517805 19743450 22023740 27529675 33035610 39486900 55059350 66071220 78389149 82589025 110118700 156778298 165178050 235167447 313556596 330356100 391945745 470334894 783891490 940669788 1175837235 1567782980 1959728725 2351674470 3370733407 3919457450 4703348940 5879186175 6741466814 7838914900 10112200221 11758372350 13482933628 16853667035 20224400442 23516744700 33707334070 40448800884 50561001105 67414668140 84268335175 101122002210 168536670350 202244004420 252805005525 337073340700 505610011050 1011220022100