Search a number
-
+
1341000030120 = 2335179409152641
BaseRepresentation
bin10011100000111001110…
…101001001011110101000
311202012100121010210011020
4103200321311021132220
5133432332001430440
62504014044332440
7165612142120032
oct23407165113650
94665317123136
101341000030120
11477795614703
12197a8a244120
13995c03c77aa
1448c948b0c52
1524d385e73d0
hex13839d497a8

1341000030120 has 128 divisors (see below), whose sum is σ = 4055392656000. Its totient is φ = 354730475520.

The previous prime is 1341000030119. The next prime is 1341000030137. The reversal of 1341000030120 is 210300001431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1341000030120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8709000 + ... + 8861640.

It is an arithmetic number, because the mean of its divisors is an integer number (31682755125).

Almost surely, 21341000030120 is an apocalyptic number.

1341000030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341000030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027696328000).

1341000030120 is an abundant number, since it is smaller than the sum of its proper divisors (2714392625880).

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

1341000030120 is a wasteful number, since it uses less digits than its factorization.

1341000030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153243 (or 153239 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1341000030120 its reverse (210300001431), we get a palindrome (1551300031551).

The spelling of 1341000030120 in words is "one trillion, three hundred forty-one billion, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 409 537 716 818 895 1074 1227 1432 1636 1790 2045 2148 2454 2685 3272 3580 4090 4296 4908 5370 6135 7160 8180 9816 10740 12270 16360 21480 24540 49080 73211 146422 152641 219633 292844 305282 366055 439266 457923 585688 610564 732110 763205 878532 915846 1098165 1221128 1464220 1526410 1757064 1831692 2196330 2289615 2928440 3052820 3663384 4392660 4579230 6105640 8785320 9158460 18316920 27322739 54645478 62430169 81968217 109290956 124860338 136613695 163936434 187290507 218581912 249720676 273227390 312150845 327872868 374581014 409841085 499441352 546454780 624301690 655745736 749162028 819682170 936452535 1092909560 1248603380 1498324056 1639364340 1872905070 2497206760 3278728680 3745810140 7491620280 11175000251 22350000502 33525000753 44700001004 55875001255 67050001506 89400002008 111750002510 134100003012 167625003765 223500005020 268200006024 335250007530 447000010040 670500015060 1341000030120