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1341134012130 = 2351183193125357
BaseRepresentation
bin10011100001000001110…
…100001111111011100010
311202012200221020202220220
4103201001310033323202
5133433120301342010
62504035232143510
7165615360004113
oct23410164177342
94665627222826
101341134012130
11477854206340
12197b07097b96
13996120a88a3
1448ca85ca20a
1524d45260970
hex13841d0fee2

1341134012130 has 128 divisors (see below), whose sum is σ = 3555618425856. Its totient is φ = 321027244800.

The previous prime is 1341134012129. The next prime is 1341134012191. The reversal of 1341134012130 is 312104311431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1341134012130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52877412 + ... + 52902768.

It is an arithmetic number, because the mean of its divisors is an integer number (27778268952).

Almost surely, 21341134012130 is an apocalyptic number.

1341134012130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341134012130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777809212928).

1341134012130 is an abundant number, since it is smaller than the sum of its proper divisors (2214484413726).

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

1341134012130 is a wasteful number, since it uses less digits than its factorization.

1341134012130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27392.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1341134012130 its reverse (312104311431), we get a palindrome (1653238323561).

The spelling of 1341134012130 in words is "one trillion, three hundred forty-one billion, one hundred thirty-four million, twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 498 830 913 1245 1826 1931 2490 2739 3862 4565 5478 5793 9130 9655 11586 13695 19310 21241 25357 27390 28965 42482 50714 57930 63723 76071 106205 126785 127446 152142 160273 212410 253570 278927 318615 320546 380355 480819 557854 637230 760710 801365 836781 961638 1394635 1602730 1673562 1763003 2104631 2404095 2789270 3526006 4183905 4209262 4808190 5289009 6313893 8367810 8815015 10523155 10578018 12627786 17630030 21046310 23150941 26445045 31569465 46301882 48964367 52890090 63138930 69452823 97928734 115754705 138905646 146893101 231509410 244821835 293786202 347264115 489643670 538608037 694528230 734465505 1077216074 1468931010 1615824111 2693040185 3231648222 4064042461 5386080370 8079120555 8128084922 12192127383 16158241110 20320212305 24384254766 40640424610 44704467071 60960636915 89408934142 121921273830 134113401213 223522335355 268226802426 447044670710 670567006065 1341134012130