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23100133430100 = 22352307436357487
BaseRepresentation
bin1010100000010011010110…
…01111110101001101010100
310000210100111000110002001010
411100021223033311031110
511011433033124230400
6121044015500332220
74602633561262356
oct520115317651524
9100710430402033
1023100133430100
1173a6791113921
122710b63b44070
13cb744417019c
1459c0a3bc90d6
152a0d4a3be450
hex15026b3f5354

23100133430100 has 144 divisors (see below), whose sum is σ = 67070629649408. Its totient is φ = 6138456255360.

The previous prime is 23100133430069. The next prime is 23100133430119. The reversal of 23100133430100 is 103433100132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401803557 + ... + 401861043.

Almost surely, 223100133430100 is an apocalyptic number.

23100133430100 is a gapful number since it is divisible by the number (20) 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 23100133430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33535314824704).

23100133430100 is an abundant number, since it is smaller than the sum of its proper divisors (43970496219308).

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

23100133430100 is a wasteful number, since it uses less digits than its factorization.

23100133430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62174 (or 62167 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23100133430100 its reverse (103433100132), we get a palindrome (23203566530232).

The spelling of 23100133430100 in words is "twenty-three trillion, one hundred billion, one hundred thirty-three million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 307 614 921 1228 1535 1842 3070 3684 4363 4605 6140 7675 8726 9210 13089 15350 17452 18420 21815 23025 26178 30700 43630 46050 52356 57487 65445 87260 92100 109075 114974 130890 172461 218150 229948 261780 287435 327225 344922 436300 574870 654450 689844 862305 1149740 1308900 1339441 1437175 1724610 2678882 2874350 3449220 4018323 4311525 5357764 5748700 6697205 8036646 8623050 13394410 16073292 17246100 17648509 20091615 26788820 33486025 35297018 40183230 52945527 66972050 70594036 80366460 88242545 100458075 105891054 133944100 176485090 200916150 211782108 250815781 264727635 352970180 401832300 441212725 501631562 529455270 752447343 882425450 1003263124 1058910540 1254078905 1323638175 1504894686 1764850900 2508157810 2647276350 3009789372 3762236715 5016315620 5294552700 6270394525 7524473430 12540789050 15048946860 18811183575 25081578100 37622367150 75244734300 77000444767 154000889534 231001334301 308001779068 385002223835 462002668602 770004447670 924005337204 1155006671505 1540008895340 1925011119175 2310013343010 3850022238350 4620026686020 5775033357525 7700044476700 11550066715050 23100133430100