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101042214130 = 251113192195731
BaseRepresentation
bin101111000011010010…
…1011101010011110010
3100122210210202022021001
41132012211131103302
53123413301323010
6114230153152214
710204630435444
oct1360645352362
9318723668231
10101042214130
1139940771aa0
12176ba9bb66a
1396b370a1b0
144c6763a494
1529659a8c3a
hex178695d4f2

101042214130 has 96 divisors (see below), whose sum is σ = 225511449408. Its totient is φ = 32131036800.

The previous prime is 101042214103. The next prime is 101042214131. The reversal of 101042214130 is 31412240101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 101042214098 and 101042214107.

It is not an unprimeable number, because it can be changed into a prime (101042214131) 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, 418365 + ... + 614095.

It is an arithmetic number, because the mean of its divisors is an integer number (2349077598).

Almost surely, 2101042214130 is an apocalyptic number.

101042214130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101042214130 is an abundant number, since it is smaller than the sum of its proper divisors (124469235278).

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

101042214130 is a wasteful number, since it uses less digits than its factorization.

101042214130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195800 (or 195781 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101042214130 its reverse (31412240101), we get a palindrome (132454454231).

The spelling of 101042214130 in words is "one hundred one billion, forty-two million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 10 11 13 19 22 26 38 55 65 95 110 130 143 190 209 247 286 361 418 494 715 722 1045 1235 1430 1805 2090 2470 2717 3610 3971 4693 5434 7942 9386 13585 19855 23465 27170 39710 46930 51623 103246 195731 258115 391462 516230 978655 1957310 2153041 2544503 3718889 4306082 5089006 7437778 10765205 12722515 18594445 21530410 25445030 27989533 37188890 40907779 48345557 55979066 70658891 81815558 96691114 139947665 141317782 204538895 241727785 279895330 353294455 409077790 483455570 531801127 706588910 777247801 918565583 1063602254 1554495602 1837131166 2659005635 3886239005 4592827915 5318011270 7772478010 9185655830 10104221413 20208442826 50521107065 101042214130