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10222220210020 = 22572135827137699
BaseRepresentation
bin1001010011000000101111…
…0011011110111101100100
31100012020100002202120011021
42110300023303132331210
52314440101333210040
633424004555220524
72103350101066600
oct224601363367544
940166302676137
1010222220210020
1132912458a7955
121191174a47744
13591c49b0b860
14274a88314500
1512ad83ee324a
hex94c0bcdef64

10222220210020 has 144 divisors (see below), whose sum is σ = 26897112849600. Its totient is φ = 3234585505536.

The previous prime is 10222220210017. The next prime is 10222220210051. The reversal of 10222220210020 is 2001202222201.

It is a junction number, because it is equal to n+sod(n) for n = 10222220209976 and 10222220210003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74167131 + ... + 74304829.

It is an arithmetic number, because the mean of its divisors is an integer number (186785505900).

Almost surely, 210222220210020 is an apocalyptic number.

10222220210020 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 10222220210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448556424800).

10222220210020 is an abundant number, since it is smaller than the sum of its proper divisors (16674892639580).

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

10222220210020 is a wasteful number, since it uses less digits than its factorization.

10222220210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143562 (or 143553 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10222220210020 its reverse (2001202222201), we get a palindrome (12223422432221).

The spelling of 10222220210020 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 5827 6370 11654 12740 23308 29135 40789 58270 75751 81578 116540 137699 151502 163156 203945 275398 285523 303004 378755 407890 530257 550796 571046 688495 757510 815780 963893 1060514 1142092 1376990 1427615 1515020 1790087 1927786 2121028 2651285 2753980 2855230 3580174 3711799 3855572 4819465 5302570 5710460 6747251 7160348 7423598 8950435 9638930 10605140 12530609 13494502 14847196 17900870 18558995 19277860 25061218 26989004 33736255 35801740 37117990 50122436 62653045 67472510 74235980 87714263 125306090 134945020 175428526 250612180 350857052 438571315 802372073 877142630 1604744146 1754285260 3209488292 4011860365 5616604511 8023720730 10430836949 11233209022 16047441460 20861673898 22466418044 28083022555 39316231577 41723347796 52154184745 56166045110 73015858643 78632463154 104308369490 112332090220 146031717286 157264926308 196581157885 208616738980 292063434572 365079293215 393162315770 511111010501 730158586430 786324631540 1022222021002 1460317172860 2044444042004 2555555052505 5111110105010 10222220210020