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101111122010002 = 213295911364131379
BaseRepresentation
bin10110111111010111000100…
…100000101001111110010010
3111021000010110221101221111211
4112333113010200221332102
5101223101034213310002
6555013450323330334
730204015601325026
oct2677270440517622
9437003427357454
10101111122010002
112a242a9345a975
12b41001a2209aa
1344559791c7610
141ad7b3946a386
15ba51eb8b0dd7
hex5bf5c4829f92

101111122010002 has 128 divisors (see below), whose sum is σ = 173625941664000. Its totient is φ = 43831923179520.

The previous prime is 101111122009921. The next prime is 101111122010011. The reversal of 101111122010002 is 200010221111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 3222238749 + ... + 3222270127.

It is an arithmetic number, because the mean of its divisors is an integer number (1356452669250).

Almost surely, 2101111122010002 is an apocalyptic number.

101111122010002 is a deficient number, since it is larger than the sum of its proper divisors (72514819653998).

101111122010002 is a wasteful number, since it uses less digits than its factorization.

101111122010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32236.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101111122010002 its reverse (200010221111101), we get a palindrome (301121343121103).

The spelling of 101111122010002 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, ten thousand, two".

Divisors: 1 2 13 26 29 58 59 113 118 226 377 641 754 767 1282 1469 1534 1711 2938 3277 3422 6554 6667 8333 13334 16666 18589 22243 31379 37178 37819 42601 44486 62758 72433 75638 85202 86671 144866 173342 193343 241657 386686 407927 483314 491647 815854 909991 941629 983294 1096751 1819982 1851361 1883258 2100557 2193502 2513459 3545827 3702722 4201114 4273547 5026918 7091654 8547094 11829883 14257763 20113939 23659766 24067693 27307241 28515526 40227878 46095751 48135386 53689469 54614482 55556111 92191502 102828983 107378938 111112222 123932863 205657966 209203793 247865726 261481207 418407586 522962414 583304231 697963097 1166608462 1186722401 1336776779 1395926194 1611127219 2272875107 2373444802 2673553558 2719649309 3222254438 4545750214 5439298618 6066909997 7582955003 12133819994 15165910006 15427391213 29547376391 30854782426 34414949629 59094752782 65913378103 68829899258 78869829961 131826756206 134099631313 157739659922 268199262626 447394345177 856873915339 894788690354 1713747830678 1743295207069 3486590414138 3888889308077 7777778616154 50555561005001 101111122010002