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1012212313002 = 2331134716632953
BaseRepresentation
bin11101011101011001000…
…11100010101110101010
310120202200211001012112000
432232230203202232222
5113041002323004002
62053000502431430
7133062364462062
oct16565443425652
93522624035460
101012212313002
1136030550a460
1214420ba32576
13745b3408c57
1436dc43303a2
151b4e397461c
hexebac8e2baa

1012212313002 has 128 divisors (see below), whose sum is σ = 2463233310720. Its totient is φ = 305559630720.

The previous prime is 1012212312973. The next prime is 1012212313043. The reversal of 1012212313002 is 2003132122101.

1012212313002 is a `hidden beast` number, since 10 + 122 + 1 + 231 + 300 + 2 = 666.

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

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, 342772758 + ... + 342775710.

It is an arithmetic number, because the mean of its divisors is an integer number (19244010240).

Almost surely, 21012212313002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012212313002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231616655360).

1012212313002 is an abundant number, since it is smaller than the sum of its proper divisors (1451020997718).

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

1012212313002 is a wasteful number, since it uses less digits than its factorization.

1012212313002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012212313002 its reverse (2003132122101), we get a palindrome (3015344435103).

The spelling of 1012212313002 in words is "one trillion, twelve billion, two hundred twelve million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 347 594 694 1041 1663 2082 2953 3123 3326 3817 4989 5906 6246 7634 8859 9369 9978 11451 14967 17718 18293 18738 22902 26577 29934 32483 34353 36586 44901 53154 54879 64966 68706 79731 89802 97449 103059 109758 159462 164637 194898 206118 292347 329274 493911 577061 584694 877041 987822 1024691 1154122 1731183 1754082 2049382 3074073 3462366 4910839 5193549 6148146 6347671 9222219 9821678 10387098 11271601 12695342 14732517 15580647 18444438 19043013 22543202 27666657 29465034 31161294 33814803 38086026 44197551 54019229 55333314 57129039 67629606 88395102 101444409 108038458 114258078 132592653 162057687 171387117 202888818 265185306 304333227 324115374 342774234 486173061 608666454 972346122 1458519183 1704061133 2917038366 3408122266 5112183399 10224366798 15336550197 18744672463 30673100394 37489344926 46009650591 56234017389 92019301182 112468034778 168702052167 337404104334 506106156501 1012212313002