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70201121004 = 2232710113919843
BaseRepresentation
bin100000101100001010…
…0000001100011101100
320201012102210110000200
41001120110001203230
52122232441333004
652125553353500
75033435453160
oct1013024014354
9221172713020
1070201121004
1127854780283
1211732268890
13680a004c71
14357d60aca0
151c5d0dc239
hex10585018ec

70201121004 has 144 divisors (see below), whose sum is σ = 206295048960. Its totient is φ = 19715011200.

The previous prime is 70201120999. The next prime is 70201121063. The reversal of 70201121004 is 40012110207.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3527907 + ... + 3547749.

Almost surely, 270201121004 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 70201121004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103147524480).

70201121004 is an abundant number, since it is smaller than the sum of its proper divisors (136093927956).

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

70201121004 is a wasteful number, since it uses less digits than its factorization.

70201121004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20100 (or 20095 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The spelling of 70201121004 in words is "seventy billion, two hundred one million, one hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 139 202 252 278 303 404 417 556 606 707 834 909 973 1212 1251 1414 1668 1818 1946 2121 2502 2828 2919 3636 3892 4242 5004 5838 6363 8484 8757 11676 12726 14039 17514 19843 25452 28078 35028 39686 42117 56156 59529 79372 84234 98273 119058 126351 138901 168468 178587 196546 238116 252702 277802 294819 357174 393092 416703 505404 555604 589638 714348 833406 884457 1179276 1250109 1666812 1768914 2004143 2500218 2758177 3537828 4008286 5000436 5516354 6012429 8016572 8274531 11032708 12024858 14029001 16549062 18037287 19307239 24049716 24823593 28058002 33098124 36074574 38614478 42087003 49647186 56116004 57921717 72149148 77228956 84174006 99294372 115843434 126261009 168348012 173765151 231686868 252522018 278575877 347530302 505044036 557151754 695060604 835727631 1114303508 1671455262 1950031139 2507182893 3342910524 3900062278 5014365786 5850093417 7800124556 10028731572 11700186834 17550280251 23400373668 35100560502 70201121004