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10122140360670 = 23513534861100741
BaseRepresentation
bin1001001101001011111010…
…0101001001111111011110
31022211200000100212110012020
42103102332211021333132
52311320120413020140
633310014100521010
72063205034313262
oct223227645117736
938750010773166
1010122140360670
113252859393858
1211758a43b0166
1358568a8c24a0
1426dcb282a0a2
15128477c846d0
hex934be949fde

10122140360670 has 128 divisors (see below), whose sum is σ = 26661207500928. Its totient is φ = 2444065228800.

The previous prime is 10122140360623. The next prime is 10122140360687. The reversal of 10122140360670 is 7606304122101.

It is a super-2 number, since 2×101221403606702 (a number of 27 digits) contains 22 as substring.

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, 100426500 + ... + 100527240.

It is an arithmetic number, because the mean of its divisors is an integer number (208290683601).

Almost surely, 210122140360670 is an apocalyptic number.

10122140360670 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 10122140360670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330603750464).

10122140360670 is an abundant number, since it is smaller than the sum of its proper divisors (16539067140258).

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

10122140360670 is a wasteful number, since it uses less digits than its factorization.

10122140360670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105678.

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 10122140360670 its reverse (7606304122101), we get a palindrome (17728444482771).

The spelling of 10122140360670 in words is "ten trillion, one hundred twenty-two billion, one hundred forty million, three hundred sixty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 4861 6890 9722 10335 14583 20670 24305 29166 48610 63193 72915 100741 126386 145830 189579 201482 257633 302223 315965 379158 503705 515266 604446 631930 772899 947895 1007410 1288165 1309633 1511115 1545798 1895790 2576330 2619266 3022230 3349229 3864495 3928899 5339273 6548165 6698458 7728990 7857798 10047687 10678546 13096330 16017819 16746145 19644495 20095374 26696365 32035638 33492290 39288990 50238435 53392730 69410549 80089095 100476870 138821098 160178190 208231647 347052745 416463294 489702001 694105490 979404002 1041158235 1469106003 2082316470 2448510005 2938212006 4897020010 6366126013 7345530015 12732252026 14691060030 19098378039 25954206053 31830630065 38196756078 51908412106 63661260130 77862618159 95491890195 129771030265 155725236318 190983780390 259542060530 337404678689 389313090795 674809357378 778626181590 1012214036067 1687023393445 2024428072134 3374046786890 5061070180335 10122140360670