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1010122210044 = 22321710336234423
BaseRepresentation
bin11101011001011111111…
…10011011101011111100
310120120022011010222021100
432230233332123223330
5113022212241210134
62052013240333100
7132656525055333
oct16545776335374
93516264128240
101010122210044
1135a432721142
12143927a74190
137433c3a4b3c
1436c668dcd1a
151b420214999
hexeb2ff9bafc

1010122210044 has 144 divisors (see below), whose sum is σ = 2731181386752. Its totient is φ = 313666822656.

The previous prime is 1010122210043. The next prime is 1010122210159. The reversal of 1010122210044 is 4400122210101.

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 = 1010122209999 and 1010122210026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010122210043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228377217 + ... + 228381639.

It is an arithmetic number, because the mean of its divisors is an integer number (18966537408).

Almost surely, 21010122210044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010122210044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365590693376).

1010122210044 is an abundant number, since it is smaller than the sum of its proper divisors (1721059176708).

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

1010122210044 is a wasteful number, since it uses less digits than its factorization.

1010122210044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8176 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1010122210044 its reverse (4400122210101), we get a palindrome (5410244420145).

The spelling of 1010122210044 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 306 309 412 612 618 927 1236 1751 1854 3502 3623 3708 4423 5253 7004 7246 8846 10506 10869 13269 14492 15759 17692 21012 21738 26538 31518 32607 39807 43476 53076 61591 63036 65214 75191 79614 123182 130428 150382 159228 184773 225573 246364 300764 369546 373169 451146 455569 554319 676719 739092 746338 902292 911138 1108638 1119507 1353438 1366707 1492676 1822276 2217276 2239014 2706876 2733414 3358521 4100121 4478028 5466828 6343873 6717042 7744673 8200242 12687746 13434084 15489346 16024529 16400484 19031619 23234019 25375492 30978692 32049058 38063238 46468038 48073587 57094857 64098116 69702057 76126476 92936076 96147174 114189714 139404114 144220761 192294348 228379428 272416993 278808228 288441522 544833986 576883044 817250979 1089667972 1634501958 1650526487 2451752937 3269003916 3301052974 4903505874 4951579461 6602105948 9807011748 9903158922 14854738383 19806317844 28058950279 29709476766 56117900558 59418953532 84176850837 112235801116 168353701674 252530552511 336707403348 505061105022 1010122210044