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10112022110010 = 2354126354435743
BaseRepresentation
bin1001001100100110001101…
…1111000101111100111010
31022210200220012121001122210
42103021203133011330322
52311133410130010020
633301222051355550
72062366222514232
oct223114337057472
938720805531583
1010112022110010
113249536952327
12117393b8b2bb6
13584737571412
1426d5d2ac4cc2
151280848193e0
hex932637c5f3a

10112022110010 has 128 divisors (see below), whose sum is σ = 24964234960896. Its totient is φ = 2619829301760.

The previous prime is 10112022110009. The next prime is 10112022110027. The reversal of 10112022110010 is 1001122021101.

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, 1760753199 + ... + 1760758941.

It is an arithmetic number, because the mean of its divisors is an integer number (195033085632).

Almost surely, 210112022110010 is an apocalyptic number.

10112022110010 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 10112022110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482117480448).

10112022110010 is an abundant number, since it is smaller than the sum of its proper divisors (14852212850886).

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

10112022110010 is a wasteful number, since it uses less digits than its factorization.

10112022110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11500.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112022110010 its reverse (1001122021101), we get a palindrome (11113144131111).

The spelling of 10112022110010 in words is "ten trillion, one hundred twelve billion, twenty-two million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 263 410 526 615 789 1230 1315 1578 2630 3945 5443 5743 7890 10783 10886 11486 16329 17229 21566 27215 28715 32349 32658 34458 53915 54430 57430 64698 81645 86145 107830 161745 163290 172290 223163 235463 323490 446326 470926 669489 706389 1115815 1177315 1338978 1412778 1431509 1510409 2231630 2354630 2863018 3020818 3347445 3531945 4294527 4531227 6694890 7063890 7157545 7552045 8589054 9062454 14315090 15104090 21472635 22656135 31259149 42945270 45312270 58691869 61926769 62518298 93777447 117383738 123853538 156295745 176075607 185780307 187554894 293459345 309633845 312591490 352151214 371560614 468887235 586918690 619267690 880378035 928901535 937774470 1281625109 1760756070 1857803070 2563250218 3844875327 6408125545 7689750654 8221156187 12816251090 16442312374 19224376635 24663468561 38448753270 41105780935 49326937122 82211561870 123317342805 246634685610 337067403667 674134807334 1011202211001 1685337018335 2022404422002 3370674036670 5056011055005 10112022110010