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10110002200110 = 2335167599374321
BaseRepresentation
bin1001001100011110101100…
…0101101111111000101110
31022210111200102210000012000
42103013223011233320232
52311120241030400420
633300245413553130
72062265164540131
oct223075305577056
938714612700160
1010110002200110
11324869a7470aa
1211734773457a6
135844a4c45967
1426d480726218
15127eb7322690
hex931eb16fe2e

10110002200110 has 128 divisors (see below), whose sum is σ = 27166793472000. Its totient is φ = 2675375838720.

The previous prime is 10110002200061. The next prime is 10110002200121. The reversal of 10110002200110 is 1100220001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110002200092 and 10110002200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26821750 + ... + 27196070.

It is an arithmetic number, because the mean of its divisors is an integer number (212240574000).

Almost surely, 210110002200110 is an apocalyptic number.

10110002200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110002200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13583396736000).

10110002200110 is an abundant number, since it is smaller than the sum of its proper divisors (17056791271890).

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

10110002200110 is a wasteful number, since it uses less digits than its factorization.

10110002200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375103 (or 375097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110002200110 its reverse (1100220001101), we get a palindrome (11210222201211).

The spelling of 10110002200110 in words is "ten trillion, one hundred ten billion, two million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 167 270 334 501 599 835 1002 1198 1503 1670 1797 2505 2995 3006 3594 4509 5010 5391 5990 7515 8985 9018 10782 15030 16173 17970 22545 26955 32346 45090 53910 80865 100033 161730 200066 300099 374321 500165 600198 748642 900297 1000330 1122963 1500495 1800594 1871605 2245926 2700891 3000990 3368889 3743210 4501485 5401782 5614815 6737778 9002970 10106667 11229630 13504455 16844445 20213334 27008910 33688890 50533335 62511607 101066670 125023214 187534821 224218279 312558035 375069642 448436558 562604463 625116070 672654837 937674105 1121091395 1125208926 1345309674 1687813389 1875348210 2017964511 2242182790 2813022315 3363274185 3375626778 4035929022 5626044630 6053893533 6726548370 8439066945 10089822555 12107787066 16878133890 20179645110 30269467665 37444452593 60538935330 74888905186 112333357779 187222262965 224666715558 337000073337 374444525930 561666788895 674000146674 1011000220011 1123333577790 1685000366685 2022000440022 3370000733370 5055001100055 10110002200110