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1010021001102 = 2331915164310139
BaseRepresentation
bin11101011001010011111…
…00010110011110001110
310120120001002201000201000
432230221330112132032
5113022010334013402
62051555223201130
7132654155566461
oct16545174263616
93516032630630
101010021001102
1135a390584393
121438b9ba61a6
1374324429ca9
1436c572b52d8
151b4163c1c1c
hexeb29f1678e

1010021001102 has 128 divisors (see below), whose sum is σ = 2382202368000. Its totient is φ = 316317765600.

The previous prime is 1010021001097. The next prime is 1010021001131. The reversal of 1010021001102 is 2011001200101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99612349 + ... + 99622487.

It is an arithmetic number, because the mean of its divisors is an integer number (18610956000).

Almost surely, 21010021001102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010021001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191101184000).

1010021001102 is an abundant number, since it is smaller than the sum of its proper divisors (1372181366898).

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

1010021001102 is a wasteful number, since it uses less digits than its factorization.

1010021001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10963 (or 10957 counting only the distinct ones).

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

Adding to 1010021001102 its reverse (2011001200101), we get a palindrome (3021022201203).

The spelling of 1010021001102 in words is "one trillion, ten billion, twenty-one million, one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 151 171 302 342 453 513 643 906 1026 1286 1359 1929 2718 2869 3858 4077 5738 5787 8154 8607 10139 11574 12217 17214 17361 20278 24434 25821 30417 34722 36651 51642 60834 73302 77463 91251 97093 109953 154926 182502 192641 194186 219906 273753 291279 329859 385282 547506 577923 582558 659718 873837 1155846 1530989 1733769 1747674 1844767 2621511 3061978 3467538 3689534 4592967 5201307 5243022 5534301 6519377 9185934 10402614 11068602 13038754 13778901 16602903 19558131 27557802 29088791 33205806 39116262 41336703 49808709 58177582 58674393 82673406 87266373 99617418 117348786 123868163 174532746 176023179 247736326 261799119 352046358 371604489 523598238 743208978 785397357 984425927 1114813467 1570794714 1968851854 2229626934 2953277781 3344440401 5906555562 6688880802 8859833343 17719666686 18704092613 26579500029 37408185226 53159000058 56112277839 112224555678 168336833517 336673667034 505010500551 1010021001102