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1010100012012 = 223371327905983
BaseRepresentation
bin11101011001011101010…
…01110000001111101100
310120120020121101012022000
432230232221300033230
5113022141100341022
62052011124452300
7132656135303130
oct16545651601754
93516217335260
101010100012012
1135a42113a463
1214392054a090
1374337902100
1436c639a13c0
151b41d2cc6ac
hexeb2ea703ec

1010100012012 has 144 divisors (see below), whose sum is σ = 3240820961280. Its totient is φ = 266399969472.

The previous prime is 1010100011981. The next prime is 1010100012023. The reversal of 1010100012012 is 2102100010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010100011985 and 1010100012003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3825228 + ... + 4080755.

It is an arithmetic number, because the mean of its divisors is an integer number (22505701120).

Almost surely, 21010100012012 is an apocalyptic number.

1010100012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010100012012 is an abundant number, since it is smaller than the sum of its proper divisors (2230720949268).

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

1010100012012 is a wasteful number, since it uses less digits than its factorization.

1010100012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7906029 (or 7906008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010100012012 its reverse (2102100010101), we get a palindrome (3112200022113).

The spelling of 1010100012012 in words is "one trillion, ten billion, one hundred million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 169 182 189 234 252 273 338 351 364 378 468 507 546 676 702 756 819 1014 1092 1183 1404 1521 1638 2028 2366 2457 3042 3276 3549 4563 4732 4914 6084 7098 9126 9828 10647 14196 18252 21294 31941 42588 63882 127764 7905983 15811966 23717949 31623932 47435898 55341881 71153847 94871796 102777779 110683762 142307694 166025643 205555558 213461541 221367524 284615388 308333337 332051286 411111116 426923082 498076929 616666674 664102572 719444453 853846164 925000011 996153858 1233333348 1336111127 1438888906 1494230787 1850000022 1992307716 2158333359 2672222254 2775000033 2877777812 2988461574 3700000044 4008333381 4316666718 5344444508 5550000066 5976923148 6475000077 8016666762 8633333436 9352777889 11100000132 12025000143 12950000154 16033333524 18705555778 19425000231 24050000286 25900000308 28058333667 36075000429 37411111556 38850000462 48100000572 56116667334 72150000858 77700000924 84175001001 112233334668 144300001716 168350002002 252525003003 336700004004 505050006006 1010100012012