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20001022010002 = 21122941271256499
BaseRepresentation
bin1001000110000110110011…
…10011111110001010010010
32121211002010121112222211001
410203003121303332022102
510110144043113310002
6110312202003212214
74133011653662605
oct443033163761222
977732117488731
1020001022010002
116411427554300
1222b03b997706a
13b2111bc59197
144d20a9c9833c
1524a414963a87
hex1230d9cfe292

20001022010002 has 96 divisors (see below), whose sum is σ = 35075164320000. Its totient is φ = 8532149472000.

The previous prime is 20001022009987. The next prime is 20001022010017.

20001022010002 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20001022009987) and next prime (20001022010017).

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, 77848749 + ... + 78105247.

It is an arithmetic number, because the mean of its divisors is an integer number (365366295000).

Almost surely, 220001022010002 is an apocalyptic number.

20001022010002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20001022010002 is a deficient number, since it is larger than the sum of its proper divisors (15074142309998).

20001022010002 is a wasteful number, since it uses less digits than its factorization.

20001022010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256864 (or 256853 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 2000102 and 2010002, that multiplied together give a palindrome (4020209020204).

The spelling of 20001022010002 in words is "twenty trillion, one billion, twenty-two million, ten thousand, two".

Divisors: 1 2 11 22 29 41 58 82 121 242 271 319 451 542 638 902 1189 2378 2981 3509 4961 5962 7018 7859 9922 11111 13079 15718 22222 26158 32791 65582 86449 122221 143869 172898 244442 256499 287738 322219 512998 644438 950939 1344431 1901878 2688862 2821489 3544409 5642978 7088818 7438471 10516459 14876942 21032918 31036379 38988499 62072758 69511229 77976998 81823181 115681049 139022458 163646362 231362098 304977311 609954622 764623519 900054991 1272491539 1529247038 1800109982 2015825641 2544983078 2849960389 3354750421 4031651282 5699920778 6709500842 8410858709 16821717418 22174082051 31349564279 36902254631 44348164102 62699128558 73804509262 82648851281 165297702562 243914902561 344845207069 487829805122 689690414138 909137364091 1818274728182 10000511005001 20001022010002