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101203303122 = 233192314992861
BaseRepresentation
bin101111001000000101…
…1111101101011010010
3100200020000212110211000
41132100023331223102
53124231021144442
6114254150002430
710211624611605
oct1362013755322
9320200773730
10101203303122
1139a13698599
1217744946416
13970abbc51c
144c80bb033c
152974bc8d4c
hex17902fdad2

101203303122 has 128 divisors (see below), whose sum is σ = 247276800000. Its totient is φ = 30538347840.

The previous prime is 101203303081. The next prime is 101203303193. The reversal of 101203303122 is 221303302101.

101203303122 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 330 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101203303095 and 101203303104.

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, 35371972 + ... + 35374832.

It is an arithmetic number, because the mean of its divisors is an integer number (1931850000).

Almost surely, 2101203303122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101203303122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123638400000).

101203303122 is an abundant number, since it is smaller than the sum of its proper divisors (146073496878).

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

101203303122 is a wasteful number, since it uses less digits than its factorization.

101203303122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101203303122 its reverse (221303302101), we get a palindrome (322506605223).

The spelling of 101203303122 in words is "one hundred one billion, two hundred three million, three hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 1026 1242 1311 1499 2622 2861 2998 3933 4497 5722 7866 8583 8994 11799 13491 17166 23598 25749 26982 28481 34477 40473 51498 54359 56962 65803 68954 77247 80946 85443 103431 108718 131606 154494 163077 170886 197409 206862 256329 310293 326154 394818 489231 512658 592227 620586 655063 768987 930879 978462 1184454 1250257 1310126 1467693 1537974 1776681 1861758 1965189 2500514 2935386 3553362 3750771 3930378 4288639 5895567 7501542 8577278 11252313 11791134 12865917 17686701 22504626 25731834 33756939 35373402 38597751 67513878 77195502 81484141 98638697 115793253 162968282 197277394 231586506 244452423 295916091 488904846 591832182 733357269 887748273 1466714538 1775496546 1874135243 2200071807 2663244819 3748270486 4400143614 5326489638 5622405729 11244811458 16867217187 33734434374 50601651561 101203303122