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42100200200124 = 223211237261212867
BaseRepresentation
bin10011001001010001101110…
…11110100101011110111100
312112001201222100010102110200
421210220313132211132330
521004232202222400444
6225312322011203500
711603432131150113
oct1144506736453674
9175051870112420
1042100200200124
111246165a510300
12487b373a46590
131a65054c65981
14a57936820c7a
154d01c97cc969
hex264a377a57bc

42100200200124 has 108 divisors (see below), whose sum is σ = 120135454973352. Its totient is φ = 12412835392320.

The previous prime is 42100200200119. The next prime is 42100200200171.

42100200200124 is a `hidden beast` number, since 42 + 100 + 200 + 200 + 124 = 666.

42100200200124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42100200200097 and 42100200200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130445262 + ... + 130767605.

Almost surely, 242100200200124 is an apocalyptic number.

42100200200124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42100200200124 is an abundant number, since it is smaller than the sum of its proper divisors (78035254773228).

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

42100200200124 is a wasteful number, since it uses less digits than its factorization.

42100200200124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261212936 (or 261212920 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 42100200 and 200124, that added together give a palindrome (42300324).

The spelling of 42100200200124 in words is "forty-two trillion, one hundred billion, two hundred million, two hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 121 132 148 198 222 242 333 363 396 407 444 484 666 726 814 1089 1221 1332 1452 1628 2178 2442 3663 4356 4477 4884 7326 8954 13431 14652 17908 26862 40293 53724 80586 161172 261212867 522425734 783638601 1044851468 1567277202 2350915803 2873341537 3134554404 4701831606 5746683074 8620024611 9403663212 9664876079 11493366148 17240049222 19329752158 25860073833 28994628237 31606756907 34480098444 38659504316 51720147666 57989256474 63213513814 86983884711 94820270721 103440295332 106313636869 115978512948 126427027628 173967769422 189640541442 212627273738 284460812163 318940910607 347935538844 379281082884 425254547476 568921624326 637881821214 956822731821 1137843248652 1169450005559 1275763642428 1913645463642 2338900011118 3508350016677 3827290927284 4677800022236 7016700033354 10525050050031 14033400066708 21050100100062 42100200200124