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1002103321122 = 232234632752249
BaseRepresentation
bin11101001010100100000…
…00110011001000100010
310112210121022012012122100
432211102000303020202
5112404301422233442
62044205423551230
7132254024454411
oct16452200631042
93483538165570
101002103321122
11356a98222212
1214226a45b516
1373661c7a257
1436705919478
151b10123784c
hexe952033222

1002103321122 has 48 divisors (see below), whose sum is σ = 2265717168000. Its totient is φ = 319498191936.

The previous prime is 1002103321103. The next prime is 1002103321123. The reversal of 1002103321122 is 2211233012001.

1002103321122 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 332 + 1 + 122 = 666.

It is a super-2 number, since 2×10021033211222 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002103321095 and 1002103321104.

It is not an unprimeable number, because it can be changed into a prime (1002103321123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19153254 + ... + 19205502.

It is an arithmetic number, because the mean of its divisors is an integer number (47202441000).

Almost surely, 21002103321122 is an apocalyptic number.

1002103321122 is an abundant number, since it is smaller than the sum of its proper divisors (1263613846878).

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

1002103321122 is a wasteful number, since it uses less digits than its factorization.

1002103321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98607 (or 98604 counting only the distinct ones).

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

Adding to 1002103321122 its reverse (2211233012001), we get a palindrome (3213336333123).

The spelling of 1002103321122 in words is "one trillion, two billion, one hundred three million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 46327 52249 92654 104498 138981 156747 277962 313494 416943 470241 833886 940482 1065521 1201727 2131042 2403454 3196563 3605181 6393126 7210362 9589689 10815543 19179378 21631086 2420539423 4841078846 7261618269 14523236538 21784854807 43569709614 55672406729 111344813458 167017220187 334034440374 501051660561 1002103321122