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101697954030 = 23351743151407
BaseRepresentation
bin101111010110110101…
…0111010000011101110
3100201111111122100022000
41132231222322003232
53131234134012110
6114415220033130
710230112226541
oct1365552720356
9321444570260
10101697954030
113a1479310a2
12178625327a6
13978952097a
144cca772858
1529a33371c0
hex17adaba0ee

101697954030 has 128 divisors (see below), whose sum is σ = 287818997760. Its totient is φ = 25464476160.

The previous prime is 101697954019. The next prime is 101697954097. The reversal of 101697954030 is 30459796101.

101697954030 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 9 + 79 + 540 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1952587 + ... + 2003993.

It is an arithmetic number, because the mean of its divisors is an integer number (2248585920).

Almost surely, 2101697954030 is an apocalyptic number.

101697954030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101697954030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143909498880).

101697954030 is an abundant number, since it is smaller than the sum of its proper divisors (186121043730).

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

101697954030 is a wasteful number, since it uses less digits than its factorization.

101697954030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51871 (or 51865 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 101697954030 in words is "one hundred one billion, six hundred ninety-seven million, nine hundred fifty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 431 459 510 765 862 918 1293 1530 2155 2295 2586 3879 4310 4590 6465 7327 7758 11637 12930 14654 19395 21981 23274 36635 38790 43962 51407 58185 65943 73270 102814 109905 116370 131886 154221 197829 219810 257035 308442 329715 395658 462663 514070 659430 771105 873919 925326 989145 1387989 1542210 1747838 1978290 2313315 2621757 2775978 4369595 4626630 5243514 6939945 7865271 8739190 13108785 13879890 15730542 22156417 23595813 26217570 39326355 44312834 47191626 66469251 78652710 110782085 117979065 132938502 199407753 221564170 235958130 332346255 376659089 398815506 598223259 664692510 753318178 997038765 1129977267 1196446518 1883295445 1994077530 2259954534 2991116295 3389931801 3766590890 5649886335 5982232590 6779863602 10169795403 11299772670 16949659005 20339590806 33899318010 50848977015 101697954030