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131000030323000 = 23535910332149409
BaseRepresentation
bin11101110010010011010010…
…010001011110000100111000
3122011211110222100111021120221
4131302103102101132010320
5114132301030230314000
61142340325542225424
736410303605202656
oct3562232221360470
9564743870437527
10131000030323000
1138816889a54253
1212838825125274
135813332c09a17
14244c614659dd6
1510229287ee61a
hex7724d245e138

131000030323000 has 128 divisors (see below), whose sum is σ = 312037587576000. Its totient is φ = 51461986099200.

The previous prime is 131000030322943. The next prime is 131000030323027. The reversal of 131000030323000 is 323030000131.

It is a super-2 number, since 2×1310000303230002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 59872296 + ... + 62021704.

Almost surely, 2131000030323000 is an apocalyptic number.

131000030323000 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 131000030323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156018793788000).

131000030323000 is an abundant number, since it is smaller than the sum of its proper divisors (181037557253000).

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

131000030323000 is a wasteful number, since it uses less digits than its factorization.

131000030323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150522 (or 2150508 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 131000030323000 its reverse (323030000131), we get a palindrome (131323060323131).

The spelling of 131000030323000 in words is "one hundred thirty-one trillion, thirty million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1033 1180 1475 2066 2360 2950 4132 5165 5900 7375 8264 10330 11800 14750 20660 25825 29500 41320 51650 59000 60947 103300 121894 129125 206600 243788 258250 304735 487576 516500 609470 1033000 1218940 1523675 2149409 2437880 3047350 4298818 6094700 7618375 8597636 10747045 12189400 15236750 17195272 21494090 30473500 42988180 53735225 60947000 85976360 107470450 126815131 214940900 253630262 268676125 429881800 507260524 537352250 634075655 1014521048 1074704500 1268151310 2149409000 2220339497 2536302620 3170378275 4440678994 5072605240 6340756550 8881357988 11101697485 12681513100 15851891375 17762715976 22203394970 25363026200 31703782750 44406789940 55508487425 63407565500 88813579880 111016974850 126815131000 131000030323 222033949700 262000060646 277542437125 444067899400 524000121292 555084874250 655000151615 1048000242584 1110169748500 1310000303230 2220339497000 2620000606460 3275000758075 5240001212920 6550001516150 13100003032300 16375003790375 26200006064600 32750007580750 65500015161500 131000030323000