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1030220212131 = 341113775711149
BaseRepresentation
bin11101111110111011110…
…10001110011110100011
310122111011211002021010000
432333131322032132203
5113334342333242011
62105135430311043
7134300550213525
oct16773572163643
93574154067100
101030220212131
11367a064a7620
121477b67b8483
13761c3173a76
1437c11c15a15
151bbe988d356
hexefdde8e7a3

1030220212131 has 80 divisors (see below), whose sum is σ = 1693517839200. Its totient is φ = 618944094720.

The previous prime is 1030220212123. The next prime is 1030220212169. The reversal of 1030220212131 is 1312120220301.

1030220212131 is a `hidden beast` number, since 1 + 0 + 302 + 20 + 212 + 131 = 666.

It is not a de Polignac number, because 1030220212131 - 23 = 1030220212123 is a prime.

It is a super-3 number, since 3×10302202121313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1030220212121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92399145 + ... + 92410293.

It is an arithmetic number, because the mean of its divisors is an integer number (21168972990).

Almost surely, 21030220212131 is an apocalyptic number.

1030220212131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1030220212131 is a deficient number, since it is larger than the sum of its proper divisors (663297627069).

1030220212131 is a wasteful number, since it uses less digits than its factorization.

1030220212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12057 counting only the distinct ones).

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

Adding to 1030220212131 its reverse (1312120220301), we get a palindrome (2342340432432).

The spelling of 1030220212131 in words is "one trillion, thirty billion, two hundred twenty million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 137 297 411 757 891 1233 1507 2271 3699 4521 6813 8327 11097 11149 13563 20439 24981 33447 40689 61317 74943 100341 103709 122067 122639 224829 301023 311127 367917 674487 903069 933381 1103751 1140799 1527413 2800143 3311253 3422397 4582239 8400429 8439793 9933759 10267191 13746717 16801543 25319379 30801573 41240151 50404629 75958137 92404719 92837723 123720453 151213887 227874411 278513169 453641661 683623233 835539507 1156251641 1360924983 2506618521 3468754923 7519855563 10406264769 12718768051 31218794307 38156304153 93656382921 114468912459 343406737377 1030220212131