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100120220200196 = 227247191103954767
BaseRepresentation
bin10110110000111100001110…
…001010001110110100000100
3111010111101210021211110122222
4112300330032022032310010
5101110332202332401241
6552534332202511512
730042306251033600
oct2660741612166404
9433441707743588
10100120220200196
11299a08241a0a29
12b28bb77205598
1343b33b0b3ab91
141aa1bb74b8500
15b89553c6ea4b
hex5b0f0e28ed04

100120220200196 has 144 divisors (see below), whose sum is σ = 209447693844480. Its totient is φ = 41734872809280.

The previous prime is 100120220200139. The next prime is 100120220200219. The reversal of 100120220200196 is 691002022021001.

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, 1828084805 + ... + 1828139571.

It is an arithmetic number, because the mean of its divisors is an integer number (1454497873920).

Almost surely, 2100120220200196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120220200196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104723846922240).

100120220200196 is an abundant number, since it is smaller than the sum of its proper divisors (109327473644284).

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

100120220200196 is a wasteful number, since it uses less digits than its factorization.

100120220200196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56062 (or 56053 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 100120220200196 its reverse (691002022021001), we get a palindrome (791122242221197).

The spelling of 100120220200196 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty million, two hundred thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 191 196 329 382 658 764 1039 1316 1337 2078 2303 2674 4156 4606 5348 7273 8977 9212 9359 14546 17954 18718 29092 35908 37436 48833 50911 54767 62839 97666 101822 109534 125678 195332 198449 203644 219068 251356 341831 383369 396898 439873 683662 766738 793796 879746 1367324 1389143 1533476 1759492 2392817 2574049 2683583 2778286 4785634 5148098 5367166 5556572 9327103 9571268 9724001 10296196 10460497 10734332 18018343 18654206 19448002 20920994 36036686 37308412 38896004 41841988 56902913 65289721 72073372 73223479 113805826 126128401 130579442 146446958 227611652 252256802 261158884 292893916 398320391 457028047 491643359 504513604 512564353 796640782 914056094 983286718 1025128706 1593281564 1828112188 1966573436 2050257412 2674436911 2788242737 3441503513 5348873822 5576485474 6883007026 10697747644 10868456383 11152970948 13766014052 18721058377 21736912766 24090524591 37442116754 43473825532 48181049182 74884233508 76079194681 96362098364 131047408639 152158389362 262094817278 304316778724 510817450001 524189634556 532554362767 1021634900002 1065108725534 2043269800004 2130217451068 3575722150007 7151444300014 14302888600028 25030055050049 50060110100098 100120220200196