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1023431224130 = 257197394711131
BaseRepresentation
bin11101110010010010100…
…00010010101101000010
310121211122200101221100222
432321021100102231002
5113231441343133010
62102054030543042
7133640402604560
oct16711120225502
93554580357328
101023431224130
11365042277437
12146421067a82
13756807ac4c3
143776a306a30
151b94d856355
hexee49412b42

1023431224130 has 128 divisors (see below), whose sum is σ = 2249084344320. Its totient is φ = 327493393920.

The previous prime is 1023431224129. The next prime is 1023431224219. The reversal of 1023431224130 is 314221343201.

It is a super-2 number, since 2×10234312241302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1023431224130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91938665 + ... + 91949795.

It is an arithmetic number, because the mean of its divisors is an integer number (17570971440).

Almost surely, 21023431224130 is an apocalyptic number.

1023431224130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023431224130 is an abundant number, since it is smaller than the sum of its proper divisors (1225653120190).

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

1023431224130 is a wasteful number, since it uses less digits than its factorization.

1023431224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12184.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1023431224130 its reverse (314221343201), we get a palindrome (1337652567331).

The spelling of 1023431224130 in words is "one trillion, twenty-three billion, four hundred thirty-one million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 73 95 133 146 190 266 365 511 665 730 947 1022 1330 1387 1894 2555 2774 4735 5110 6629 6935 9470 9709 11131 13258 13870 17993 19418 22262 33145 35986 48545 55655 66290 69131 77917 89965 97090 111310 125951 138262 155834 179930 211489 251902 345655 389585 422978 483917 629755 691310 779170 812563 967834 1057445 1259510 1313489 1480423 1625126 2114890 2419585 2626978 2960846 4062815 4839170 5687941 6567445 7402115 8125630 9194423 10541057 11375882 13134890 14804230 15438697 18388846 21082114 28439705 30877394 45972115 52705285 56879410 73787399 77193485 91944230 105410570 108070879 147574798 154386970 200280083 216141758 368936995 400560166 540354395 737873990 769497161 1001400415 1080708790 1401960581 1538994322 2002800830 2803921162 3847485805 5386480127 7009802905 7694971610 10772960254 14019605810 14620446059 26932400635 29240892118 53864801270 73102230295 102343122413 146204460590 204686244826 511715612065 1023431224130