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1002166356030 = 235737173745543
BaseRepresentation
bin11101001010101011100…
…01010000100000111110
310112210202200210201021120
432211111301100200332
5112404414041343110
62044215555011410
7132255421321560
oct16452561204076
93483680721246
101002166356030
1135701a866284
12142287599b66
137367204a708
1436710047330
151b106a39870
hexe955c5083e

1002166356030 has 128 divisors (see below), whose sum is σ = 2839413270528. Its totient is φ = 221587011072.

The previous prime is 1002166355987. The next prime is 1002166356127. The reversal of 1002166356030 is 306536612001.

It is a junction number, because it is equal to n+sod(n) for n = 1002166355982 and 1002166356000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971439 + ... + 1716981.

It is an arithmetic number, because the mean of its divisors is an integer number (22182916176).

Almost surely, 21002166356030 is an apocalyptic number.

1002166356030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002166356030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419706635264).

1002166356030 is an abundant number, since it is smaller than the sum of its proper divisors (1837246914498).

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

1002166356030 is a wasteful number, since it uses less digits than its factorization.

1002166356030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745770.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 1002166356030 in words is "one trillion, two billion, one hundred sixty-six million, three hundred fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 173 185 210 222 259 346 370 518 519 555 777 865 1038 1110 1211 1295 1554 1730 2422 2590 2595 3633 3885 5190 6055 6401 7266 7770 12110 12802 18165 19203 32005 36330 38406 44807 64010 89614 96015 134421 192030 224035 268842 448070 672105 745543 1344210 1491086 2236629 3727715 4473258 5218801 7455430 10437602 11183145 15656403 22366290 26094005 27585091 31312806 52188010 55170182 78282015 82755273 128978939 137925455 156564030 165510546 193095637 257957878 275850910 386191274 386936817 413776365 579286911 644894695 773873634 827552730 902852573 965478185 1158573822 1289789390 1805705146 1930956370 1934684085 2708557719 2896434555 3869368170 4514262865 4772220743 5417115438 5792869110 9028525730 9544441486 13542788595 14316662229 23861103715 27085577190 28633324458 33405545201 47722207430 66811090402 71583311145 100216635603 143166622290 167027726005 200433271206 334055452010 501083178015 1002166356030