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1020122000058 = 237171975196963
BaseRepresentation
bin11101101100001000000…
…00100110101010111010
310121112010001111221100110
432312010000212222322
5113203202213000213
62100345414445150
7133462400634150
oct16660400465272
93545101457313
101020122000058
113636a4302407
121458589637b6
137527401a855
1437534a093d0
151b8080805c3
hexed84026aba

1020122000058 has 64 divisors (see below), whose sum is σ = 2598807075840. Its totient is φ = 259880700672.

The previous prime is 1020122000057. The next prime is 1020122000063. The reversal of 1020122000058 is 8500002210201.

It is a happy number.

It is a super-3 number, since 3×10201220000583 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1020121999998 and 1020122000043.

It is not an unprimeable number, because it can be changed into a prime (1020122000057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37584916 + ... + 37612047.

It is an arithmetic number, because the mean of its divisors is an integer number (40606360560).

Almost surely, 21020122000058 is an apocalyptic number.

1020122000058 is an abundant number, since it is smaller than the sum of its proper divisors (1578685075782).

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

1020122000058 is a wasteful number, since it uses less digits than its factorization.

1020122000058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75197011.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 1020122000058 its reverse (8500002210201), we get a palindrome (9520124210259).

The spelling of 1020122000058 in words is "one trillion, twenty billion, one hundred twenty-two million, fifty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2261 4522 6783 13566 75196963 150393926 225590889 451181778 526378741 1052757482 1278348371 1428742297 1579136223 2556696742 2857484594 3158272446 3835045113 4286226891 7670090226 8572453782 8948438597 10001196079 17896877194 20002392158 24288619049 26845315791 30003588237 48577238098 53690631582 60007176474 72865857147 145731714294 170020333343 340040666686 510061000029 1020122000058