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101102231101233 = 329536722710931319
BaseRepresentation
bin10110111111001110110010…
…100100100001111100110001
3111020222021112022120222112110
4112333032302210201330301
5101222424332130214413
6555005420200315533
730203252352002145
oct2677166244417461
9436867468528473
10101102231101233
112a23a2407aa58a
12b40a358772ba9
134454b90221b5b
141ad7534731225
15ba4d7b0828c3
hex5bf3b2921f31

101102231101233 has 128 divisors (see below), whose sum is σ = 145080825753600. Its totient is φ = 62514648548352.

The previous prime is 101102231101219. The next prime is 101102231101307. The reversal of 101102231101233 is 332101132201101.

It is not a de Polignac number, because 101102231101233 - 26 = 101102231101169 is a prime.

It is a super-2 number, since 2×1011022311012332 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101102231101033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76650667348 + ... + 76650668666.

It is an arithmetic number, because the mean of its divisors is an integer number (1133443951200).

Almost surely, 2101102231101233 is an apocalyptic number.

It is an amenable number.

101102231101233 is a deficient number, since it is larger than the sum of its proper divisors (43978594652367).

101102231101233 is a wasteful number, since it uses less digits than its factorization.

101102231101233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101102231101233 its reverse (332101132201101), we get a palindrome (433203363302334).

The spelling of 101102231101233 in words is "one hundred one trillion, one hundred two billion, two hundred thirty-one million, one hundred one thousand, two hundred thirty-three".

Divisors: 1 3 29 53 67 87 159 201 227 681 1093 1319 1537 1943 3279 3551 3957 4611 5829 6583 10653 12031 15209 19749 31697 36093 38251 45627 57929 69907 73231 88373 95091 102979 114753 173787 209721 219693 248111 265119 299413 308937 348899 441061 744333 806077 898239 1046697 1323183 1441667 1679941 2027303 2123699 2418231 2562817 3881243 4325001 4683769 5039823 6081909 6371097 7195219 7688451 8682977 11643729 13149883 14051307 15868889 16623437 20060671 21585657 23376233 26048931 39449649 41808343 47606667 49870311 60182013 70128699 76408351 96591689 112556047 125425029 135829301 229225053 289775067 327258409 337668141 381346607 407487903 460197781 482079673 581759459 881042161 981775227 1063215563 1144039821 1380593343 1446239019 1745278377 2215842179 2643126483 2801158981 3189646689 5119359517 6647526537 8403476943 9490493861 15358078551 17344695677 21926313403 25550222669 28471481583 30833251327 52034087031 65778940209 76650668007 92499753981 148461425993 445384277979 502996174633 635863088687 1162094610359 1508988523899 1907589266061 3486283831077 33700743700411 101102231101233