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1002120310122 = 233747302331771
BaseRepresentation
bin11101001010100110000…
…01100110110101101010
310112210122111011100011120
432211103001212311222
5112404320244410442
62044211232040110
7132254322043131
oct16452301466552
93483574140146
101002120310122
11356aa6876308
12142274093036
1373665648009
1436707c9c918
151b1029914ec
hexe953066d6a

1002120310122 has 64 divisors (see below), whose sum is σ = 2102966820864. Its totient is φ = 317981609280.

The previous prime is 1002120310099. The next prime is 1002120310157. The reversal of 1002120310122 is 2210130212001.

1002120310122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31526097 + ... + 31557867.

It is an arithmetic number, because the mean of its divisors is an integer number (32858856576).

Almost surely, 21002120310122 is an apocalyptic number.

1002120310122 is an abundant number, since it is smaller than the sum of its proper divisors (1100846510742).

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

1002120310122 is a wasteful number, since it uses less digits than its factorization.

1002120310122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34883.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1002120310122 its reverse (2210130212001), we get a palindrome (3212250522123).

The spelling of 1002120310122 in words is "one trillion, two billion, one hundred twenty million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 47 74 94 111 141 222 282 1739 3023 3478 5217 6046 9069 10434 18138 31771 63542 95313 111851 142081 190626 223702 284162 335553 426243 671106 852486 1175527 1493237 2351054 2986474 3526581 4479711 5256997 7053162 8959422 10513994 15770991 31541982 55249769 96043733 110499538 165749307 192087466 288131199 331498614 576262398 3553618121 4514055451 7107236242 9028110902 10660854363 13542166353 21321708726 27084332706 167020051687 334040103374 501060155061 1002120310122