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100030212133302 = 231137431584916249
BaseRepresentation
bin10110101111101000011001…
…010000101101000110110110
3111010011210110110202220211210
4112233220121100231012312
5101102343333301231202
6552425124533342250
730032641623061443
oct2657503120550666
9433153413686753
10100030212133302
1129966635a70090
12b276637797986
1343a7a68452bb9
141a9b6b94ba9ca
15b87036d4cc6c
hex5afa1942d1b6

100030212133302 has 128 divisors (see below), whose sum is σ = 224718624000000. Its totient is φ = 29417666918400.

The previous prime is 100030212133157. The next prime is 100030212133303. The reversal of 100030212133302 is 203331212030001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100030212133303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6156076074 + ... + 6156092322.

It is an arithmetic number, because the mean of its divisors is an integer number (1755614250000).

Almost surely, 2100030212133302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100030212133302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112359312000000).

100030212133302 is an abundant number, since it is smaller than the sum of its proper divisors (124688411866698).

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

100030212133302 is a wasteful number, since it uses less digits than its factorization.

100030212133302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22582.

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

Adding to 100030212133302 its reverse (203331212030001), we get a palindrome (303361424163303).

The spelling of 100030212133302 in words is "one hundred trillion, thirty billion, two hundred twelve million, one hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 431 814 862 1221 1293 2442 2586 4741 5849 9482 11698 14223 15947 16249 17547 28446 31894 32498 35094 47841 48747 64339 95682 97494 128678 175417 178739 193017 216413 350834 357478 386034 432826 526251 536217 601213 649239 1052502 1072434 1202426 1298478 1803639 2380543 2520919 3607278 4761086 5041838 6613343 7003319 7141629 7562757 13226686 14006638 14283258 15125514 19840029 21009957 27730109 39680058 42019914 55460218 77036509 83190327 93274003 95040401 154073018 166380654 186548006 190080802 231109527 259122803 279822009 285121203 462219054 518245606 559644018 570242406 777368409 1026014033 1045444411 1554736818 2052028066 2090888822 2850350833 3078042099 3136333233 3516494837 5700701666 6156084198 6272666466 7032989674 8551052499 10549484511 17102104998 21098969022 38681443207 40962412831 77362886414 81924825662 116044329621 122887238493 232088659242 245774476986 450586541141 901173082282 1351759623423 1515609274747 2703519246846 3031218549494 4546827824241 9093655648482 16671702022217 33343404044434 50015106066651 100030212133302